Simplify a radical expression by multiplying by square root of five on top and bottom

The video tutorial explains the process of rationalizing a denominator that contains an irrational number, specifically the square root of 5. It begins by discussing the problem of having an irrational number in the denominator and the need to eliminate it. The tutorial then explores the concept of square roots and square numbers, emphasizing that only square numbers can have their square roots taken easily. The main focus is on multiplying the numerator and denominator by the square root of 5 to rationalize the denominator, resulting in a simplified expression. The video concludes with a final simplified answer.

Why is it important not to have a square root in the denominator?

• It makes the expression irrational.

• It makes the expression complex.

• It makes the expression undefined.

• It makes the expression zero.

What is a square number?

• A number that is a multiple of 10.

• A number that is less than 1.

• A number that can be expressed as the product of two equal integers.

• A number that can be divided by 2.

How can you transform the number 5 into a square number?

• By subtracting 1 from it.

• By adding 5 to it.

• By multiplying it by 2.

• By multiplying it by itself.

What is the result of simplifying the expression 3 sqrt 5 over sqrt 25?

• 5 sqrt 3 / 5

• sqrt 5 / 3

• 3 / sqrt 5

• 3 sqrt 5 / 5

What is the purpose of multiplying both the numerator and denominator by sqrt 5?

• To make the expression more complex.

• To eliminate the square root from the denominator.

• To increase the value of the expression.

• To make the expression undefined.