ISEE Middle Level Math : Squares / Square Roots

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #281 : Squares / Square Roots

Solve:

Possible Answers:

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Correct answer:

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Explanation:

Division of a non-zero number by 0 is always undefined. Therefore, there is no need to find the square root, because the answer will be undefined regardless of what number is under the square root sign.

Example Question #282 : Squares / Square Roots

Solve:

Possible Answers:

Correct answer:

Explanation:

First, find the square root:

Then complete the division:

 

Answer: 

Example Question #283 : Squares / Square Roots

Solve the equation:

Possible Answers:

Correct answer:

Explanation:

First find the square root:

Then multiply:

Answer: 

Example Question #283 : Squares / Square Roots

 

Possible Answers:

Correct answer:

Explanation:

First take the square root:

Then multiply:

Answer:

Example Question #284 : Squares / Square Roots

 

Possible Answers:

Correct answer:

Explanation:

First take the square root:

Then multiply:

 

Answer: 

Example Question #285 : Squares / Square Roots

What is the simplified version of this expression:

Possible Answers:

Correct answer:

Explanation:

The first step in solving this problem is to solve for the value in parentheses:

This is equivalent to 7 times 7, which is 49. Therefore, 49 is the correct answer. 

Example Question #286 : Squares / Square Roots

What is the value of the following expression?

 

Possible Answers:

Correct answer:

Explanation:

The first step in solving this problem is to solve for the value in parentheses:

Remember, a negative raised to an even power is positive. Therefore, 4 is the correct answer. 

Example Question #287 : How To Find The Square Root

Which of the values below is equal to ?

Possible Answers:

Correct answer:

Explanation:

 can be reduced to:

Therefore,  is the correct answer. 

 

Example Question #287 : Squares / Square Roots

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve, simply identify the number that when squared is equal to 169.

Recall that both negative and positive numbers when squared result in a positive number.

Thus,

Example Question #288 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the side length of a square yard if the area of the yard is ?

Possible Answers:

Correct answer:

Explanation:

The area of a square is the side length squared.  

To find the side length from the area, you must find the square root of the area.  

The square root whatever value multiplied by itself gives you your value.  

 multiplied by itself gives you  so the side length must be .

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