Simplifying the root of a rational number

The video tutorial explains the application of the radical property over division, focusing on simplifying expressions involving square roots. It covers the process of rationalizing the denominator by multiplying by the square root, handling negative signs, and ensuring the final expression is simplified. The tutorial emphasizes understanding the rules of radicals and their application in mathematical problems.

What is the primary goal when dealing with radicals in the denominator?

• To make the denominator a whole number

• To add more radicals to the numerator

• To convert the expression into a fraction

• To ensure the numerator is larger than the denominator

Why do we multiply by the same radical when removing it from the denominator?

• To increase the value of the expression

• To make the expression more complex

• To square the radical and simplify the expression

• To change the sign of the expression

What happens when you square a square root?

• It becomes a cube root

• It cancels out the square root

• It doubles the value

• It halves the value

Can the expression sqrt 21 / 7 be simplified further?

• No, because 21 is a prime number

• No, because 21 is not a perfect square

• Yes, by factoring 21

• Yes, by dividing both terms by 7

What is the final simplified form of the expression discussed in the tutorial?

• sqrt 3 / sqrt 7

• sqrt 21 / sqrt 7

• sqrt 3 / 7

• sqrt 21 / 7