How To Simplify Square Roots Quiz

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1. Factoring is a means of simplifying square roots.

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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How To Simplify Square Roots Quiz - Quiz


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

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

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

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

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

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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6. Simplify 8/12

Explanation

8 ÷ 4 / 12 ÷ 4 = 2/3

So, the simplified form of 8/12 is 2/3.

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

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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8. Simplify /9 where / indicates square root

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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Factoring is a means of simplifying square roots.
Memorizing perfect squares is not that important when it comes to...
In /25, "/" is also known as the radical
Which of the following are methods to simplify a square root?
In 7/2, "7" is also known as the coefficient
Simplify 8/12
What is the basic thing to follow in order to simplify a square root?
Simplify /9 where / indicates square root
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