How to divide the square root of one number by square root of another

The video tutorial explains two methods to simplify mathematical expressions involving square roots. The first method involves breaking down the square root of 90 into simpler components, while the second method demonstrates how to combine and simplify radicands. The teacher emphasizes the importance of understanding these methods and provides clarification on the steps involved, ensuring students can achieve the same result using either approach.

What is the first step in simplifying the square root of 90 as explained in the video?

• Add 5 to it

• Rewrite it as the square root of 9 times 10

• Divide it by 2

• Multiply it by 3

How can the square root of 90 divided by 2 be rewritten according to the alternative method?

• As the square root of 9

• As the square root of 10

• As the square root of 180

• As the square root of 45

What is the result of simplifying the square root of 90 divided by 2 using the alternative method?

• 5 square root of 3

• 4 square root of 5

• 2 square root of 10

• 3 square root of 5

What is the final simplified form of the square root of 90 as discussed in the video?

• 3 square root of 10 over square root of 2

• 3 square root of 5

• 5 square root of 3

• 2 square root of 10

What is the importance of understanding both methods of simplification as highlighted in the discussion?

• To make calculations faster

• To memorize more formulas

• To avoid using calculators

• To ensure accuracy and flexibility in problem-solving