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  169 


Answer:_______________




2)  

  What is the positive square root of  4761


Answer:_______________




3)  

  What is  256 


Answer:_______________




4)  

  What is  484 


Answer:_______________




5)  

  What is the positive square root of  5776


Answer:_______________




6)  

  What is  81 


Answer:_______________




7)  

  What is  361 


Answer:_______________




8)  

  What is the positive square root of  8281


Answer:_______________




9)  

  What is  36 


Answer:_______________




10)  

  What is  784 


Answer:_______________




 

1)  

  What is  169 

Answer: -13


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 169.

Figure out which number squared (multiplied by itself) equals 169.

The number -132 squared equals 169.

169 = -13 × -13 = 169

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

So   169   is  -13.



2)  

  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.



3)  

  What is  256 

Answer: 16


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 256.

Figure out which number squared (multiplied by itself) equals 256.

The number 162 squared equals 256.

256 = 16 × 16 = 256

So   256   is  16.



4)  

  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

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

So   484   is  -22.



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  81 

Answer: 9


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 81.

Figure out which number squared (multiplied by itself) equals 81.

The number 92 squared equals 81.

81 = 9 × 9 = 81

So   81   is  9.



7)  

  What is  361 

Answer: -19


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 361.

Figure out which number squared (multiplied by itself) equals 361.

The number -192 squared equals 361.

361 = -19 × -19 = 361

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

So   361   is  -19.



8)  

  What is the positive square root of  8281

Answer: 91


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 8281.

Figure out which number squared (multiplied by itself) equals 8281.

The number 912 squared equals 8281.

8281 = 91 × 91 = 8281

So  the positive  8281   is  91.



9)  

  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.



10)  

  What is  784 

Answer: -28


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 784.

Figure out which number squared (multiplied by itself) equals 784.

The number -282 squared equals 784.

784 = -28 × -28 = 784

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

So   784   is  -28.