Scroll:Numbers >> Square roots >> saq (4106)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

  What is  841 


Answer:_______________




2)  

  What is the positive square root of  7225


Answer:_______________




3)  

  What is  25 


Answer:_______________




4)  

  What is  900 


Answer:_______________




5)  

  What is the positive square root of  5776


Answer:_______________




6)  

  What is  36 


Answer:_______________




7)  

  What is  324 


Answer:_______________




8)  

  What is the positive square root of  4761


Answer:_______________




9)  

  What is  100 


Answer:_______________




10)  

  What is  225 


Answer:_______________




 

1)  

  What is  841 

Answer: -29


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 841.

Figure out which number squared (multiplied by itself) equals 841.

The number -292 squared equals 841.

841 = -29 × -29 = 841

Finally, include the negative sign to get the negative square root.

So   841   is  -29.



2)  

  What is the positive square root of  7225

Answer: 85


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 7225.

Figure out which number squared (multiplied by itself) equals 7225.

The number 852 squared equals 7225.

7225 = 85 × 85 = 7225

So  the positive  7225   is  85.



3)  

  What is  25 

Answer: 5


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 25.

Figure out which number squared (multiplied by itself) equals 25.

The number 52 squared equals 25.

25 = 5 × 5 = 25

So   25   is  5.



4)  

  What is  900 

Answer: -30


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 900.

Figure out which number squared (multiplied by itself) equals 900.

The number -302 squared equals 900.

900 = -30 × -30 = 900

Finally, include the negative sign to get the negative square root.

So   900   is  -30.



5)  

  What is the positive square root of  5776

Answer: 76


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 5776.

Figure out which number squared (multiplied by itself) equals 5776.

The number 762 squared equals 5776.

5776 = 76 × 76 = 5776

So  the positive  5776   is  76.



6)  

  What is  36 

Answer: 6


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 36.

Figure out which number squared (multiplied by itself) equals 36.

The number 62 squared equals 36.

36 = 6 × 6 = 36

So   36   is  6.



7)  

  What is  324 

Answer: -18


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 324.

Figure out which number squared (multiplied by itself) equals 324.

The number -182 squared equals 324.

324 = -18 × -18 = 324

Finally, include the negative sign to get the negative square root.

So   324   is  -18.



8)  

  What is the positive square root of  4761

Answer: 69


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 4761.

Figure out which number squared (multiplied by itself) equals 4761.

The number 692 squared equals 4761.

4761 = 69 × 69 = 4761

So  the positive  4761   is  69.



9)  

  What is  100 

Answer: 10


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 100.

Figure out which number squared (multiplied by itself) equals 100.

The number 102 squared equals 100.

100 = 10 × 10 = 100

So   100   is  10.



10)  

  What is  225 

Answer: -15


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 225.

Figure out which number squared (multiplied by itself) equals 225.

The number -152 squared equals 225.

225 = -15 × -15 = 225

Finally, include the negative sign to get the negative square root.

So   225   is  -15.