Learn how to rationalize the denominator of an expression with a radical on denominator

The video tutorial explains how to simplify expressions with radicals in the denominator. It begins by discussing the need to eliminate radicals from the denominator and introduces the concept of square numbers, which are numbers multiplied by themselves. The tutorial then explains the correct method to multiply radicals, emphasizing that numbers outside the radical cannot be directly multiplied with numbers inside the radical. Instead, the same radical must be used to multiply both inside and outside numbers to simplify the expression.

Why can't we directly divide by a square root in the denominator?

• Because it results in an irrational number

• Because it is mathematically incorrect

• Because it simplifies the expression

• Because it is not allowed in algebra

What is a square number?

• A number multiplied by itself

• A number that is prime

• A number that is odd

• A number that is even

Which of the following is a square number?

• 7

• 9

• 11

• 5

What must you do to eliminate a square root in the denominator?

• Add the square root

• Multiply by the square root

• Multiply by the same number

• Divide by the square root

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

• It changes the value of the expression

• It results in a complex number

• It is not mathematically valid

• It simplifies the expression incorrectly