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  4 


Answer:_______________




2)  

  What is  400 


Answer:_______________




3)  

  What is the positive square root of  3025


Answer:_______________




4)  

  What is  225 


Answer:_______________




5)  

  What is  324 


Answer:_______________




6)  

  What is the positive square root of  2025


Answer:_______________




7)  

  What is  256 


Answer:_______________




8)  

  What is  729 


Answer:_______________




9)  

  What is the positive square root of  9025


Answer:_______________




10)  

  What is  64 


Answer:_______________




 

1)  

  What is  4 

Answer: -2


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 4.

Figure out which number squared (multiplied by itself) equals 4.

The number -22 squared equals 4.

4 = -2 × -2 = 4

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

So   4   is  -2.



2)  

  What is  400 

Answer: 20


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 400.

Figure out which number squared (multiplied by itself) equals 400.

The number 202 squared equals 400.

400 = 20 × 20 = 400

So   400   is  20.



3)  

  What is the positive square root of  3025

Answer: 55


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 3025.

Figure out which number squared (multiplied by itself) equals 3025.

The number 552 squared equals 3025.

3025 = 55 × 55 = 3025

So  the positive  3025   is  55.



4)  

  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.



5)  

  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

So   324   is  18.



6)  

  What is the positive square root of  2025

Answer: 45


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 2025.

Figure out which number squared (multiplied by itself) equals 2025.

The number 452 squared equals 2025.

2025 = 45 × 45 = 2025

So  the positive  2025   is  45.



7)  

  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

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

So   256   is  -16.



8)  

  What is  729 

Answer: 27


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 729.

Figure out which number squared (multiplied by itself) equals 729.

The number 272 squared equals 729.

729 = 27 × 27 = 729

So   729   is  27.



9)  

  What is the positive square root of  9025

Answer: 95


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 9025.

Figure out which number squared (multiplied by itself) equals 9025.

The number 952 squared equals 9025.

9025 = 95 × 95 = 9025

So  the positive  9025   is  95.



10)  

  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.