How To Simplify Square Roots Quiz

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| By Sayan_mitra93
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Sayan_mitra93
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Do you feel uneasy when it comes to simplifying square roots? Not any more. Play this quiz and simplify square roots easily.

• 1.

What is the basic thing to follow in order to simplify a square root?

• A.

Make the number inside the square root as small as possible

• B.

Make the number outside the square root to the least possible value

• C.

Make both the numbers inside and outside the square root as minimum as possible

• D.

Not sure

A. Make the number inside the square root as small as possible
Explanation
To simplify a square root, the basic thing to follow is to make the number inside the square root as small as possible. This involves finding the factors of the number and simplifying it by removing perfect square factors. By reducing the number inside the square root, the expression becomes simpler and easier to work with.

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• 2.

Simplify /9 where / indicates square root

• A.

/3x3

• B.

3

• C.

3/3

• D.

/9

A. /3x3
B. 3
Explanation
The given question asks to simplify the expression "/9" where the symbol "/" indicates the square root. The expression "/3x3" means the square root of 3 multiplied by 3. Simplifying this gives us 3. The next step is to divide 3 by 3, which equals 1. Finally, taking the square root of 9 gives us 3. So, the answer is "/3x3,3" which means the square root of 3 multiplied by 3, divided by 3, and then the square root of 9, resulting in 3.

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• 3.

Factoring is a means of simplifying square roots.

• A.

True

• B.

False

A. True
Explanation
Factoring is a mathematical process used to simplify expressions, including square roots. By factoring a number or expression, we can break it down into its prime factors, making it easier to work with. This process is commonly used when simplifying square roots, as it allows us to find the largest perfect square factor of the number inside the square root. Therefore, the statement that factoring is a means of simplifying square roots is true.

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• 4.

Which of the following are methods to simplify a square root?

• A.

Multiply integers together if there are more than one

• B.

Rewrite the square root as a multiplication problem

• C.

Divide by the smallest number possible

• D.

All of the above

D. All of the above
Explanation
All of the methods mentioned in the options can be used to simplify a square root. Multiplying integers together helps in simplifying the expression by combining like terms. Rewriting the square root as a multiplication problem allows for simplification by factoring out perfect squares. Dividing by the smallest number possible is another method to simplify the square root. Therefore, all of the above methods can be used to simplify a square root.

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• 5.

Memorizing perfect squares is not that important when it comes to simplifying square roots

• A.

True

• B.

False

B. False
Explanation
Memorizing perfect squares is important when it comes to simplifying square roots. Knowing the perfect squares allows us to recognize when a number under the square root sign can be simplified to a whole number. This simplification makes calculations easier and quicker. Therefore, the statement "Memorizing perfect squares is not that important when it comes to simplifying square roots" is false.

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• 6.

Simplify 8/12

• A.

/(4x3)

• B.

2/3

• C.

/12

• D.

Not sure

B. 2/3
Explanation
8 ÷ 4 / 12 ÷ 4 = 2/3
So, the simplified form of 8/12 is 2/3.

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• 7.

In /25, "/" is also known as the radical

• A.

True

• B.

False

A. True
Explanation
The statement is true because in mathematics, the symbol "/" is commonly referred to as the radical. The radical symbol is used to denote the square root or other roots of a number. It is a mathematical notation that represents the operation of taking the root of a number.

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• 8.

In 7/2, "7" is also known as the coefficient

• A.

True

• B.

False

A. True
Explanation
In the given question, the statement "In 7/2, '7' is also known as the coefficient" is true. In a fraction, the coefficient refers to the number that is being divided by another number. In this case, the fraction 7/2 can be written as 7 divided by 2, where 7 is the coefficient.

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• Current Version
• Aug 24, 2023
Quiz Edited by
ProProfs Editorial Team
• Aug 25, 2015
Quiz Created by
Sayan_mitra93

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