How To Simplify Square Roots Quiz

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.

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.

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.

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.

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.

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

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.

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.