Simplifying the Square Multiplied by a Number

The video tutorial explains how to find the largest square number that divides 96. The process involves identifying potential square numbers, rewriting 96 as a product of these numbers, and simplifying the expression using square roots. The final result is expressed as 40 times the square root of 6.

What is the largest square number that divides into 96?

• 81

• 64

• 16

• 49

Why is it beneficial to rewrite a number as a product of square numbers?

• It makes the number smaller.

• It simplifies the calculation of square roots.

• It makes the number larger.

• It complicates the calculation.

What is the result of taking the square root of 16?

• 2

• 5

• 3

• 4

What is the final simplified form of the expression involving the square root of 96?

• 16√6

• 4√6

• 40√6

• 40

Why can't you multiply a number outside a radical with one inside?

• It is not allowed by the rules of algebra.

• It makes the calculation easier.

• It is mathematically incorrect.

• It changes the value of the number.