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  625 


Answer:_______________




2)  

  What is the positive square root of  9801


Answer:_______________




3)  

  What is  576 


Answer:_______________




4)  

  What is  144 


Answer:_______________




5)  

  What is the positive square root of  8649


Answer:_______________




6)  

  What is  225 


Answer:_______________




7)  

  What is  900 


Answer:_______________




8)  

  What is the positive square root of  6724


Answer:_______________




9)  

  What is  64 


Answer:_______________




10)  

  What is  484 


Answer:_______________




 

1)  

  What is  625 

Answer: 25


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 625.

Figure out which number squared (multiplied by itself) equals 625.

The number 252 squared equals 625.

625 = 25 × 25 = 625

So   625   is  25.



2)  

  What is the positive square root of  9801

Answer: 99


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 9801.

Figure out which number squared (multiplied by itself) equals 9801.

The number 992 squared equals 9801.

9801 = 99 × 99 = 9801

So  the positive  9801   is  99.



3)  

  What is  576 

Answer: -24


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 576.

Figure out which number squared (multiplied by itself) equals 576.

The number -242 squared equals 576.

576 = -24 × -24 = 576

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

So   576   is  -24.



4)  

  What is  144 

Answer: 12


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 144.

Figure out which number squared (multiplied by itself) equals 144.

The number 122 squared equals 144.

144 = 12 × 12 = 144

So   144   is  12.



5)  

  What is the positive square root of  8649

Answer: 93


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 8649.

Figure out which number squared (multiplied by itself) equals 8649.

The number 932 squared equals 8649.

8649 = 93 × 93 = 8649

So  the positive  8649   is  93.



6)  

  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.



7)  

  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

So   900   is  30.



8)  

  What is the positive square root of  6724

Answer: 82


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 6724.

Figure out which number squared (multiplied by itself) equals 6724.

The number 822 squared equals 6724.

6724 = 82 × 82 = 6724

So  the positive  6724   is  82.



9)  

  What is  64 

Answer: -8


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 64.

Figure out which number squared (multiplied by itself) equals 64.

The number -82 squared equals 64.

64 = -8 × -8 = 64

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

So   64   is  -8.



10)  

  What is  484 

Answer: 22


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 484.

Figure out which number squared (multiplied by itself) equals 484.

The number 222 squared equals 484.

484 = 22 × 22 = 484

So   484   is  22.