Simplifying Square Roots and Rational Expressions

What is the simplest form of the square root of 16?

• 4

• 2

• 16

• 8

How can the square root of 32 be simplified?

• 4 root 2

• 5.66

• 8

• 32

What is a 'convention' in mathematics?

• A large gathering of mathematicians

• A complex mathematical problem

• A standard or preferred way of doing things

• A mathematical theory

What does it mean to simplify a root?

• To convert it into a decimal

• To find its cube root

• To express it in its simplest form

• To multiply it by itself

How can the square root of 180 be simplified?

• 180

• 9 root 5

• 6 root 5

• 12

What is the simplified form of the square root of 72?

• 6 root 2

• 6

• 8 root 2

• 72

What is the simplified version of the cube root of 72?

• 72

• 3

• 8

• 2 times the cube root of 9

Why do mathematicians prefer not to have roots in the denominator?

• It's easier to calculate

• It looks cleaner

• It's a convention

• Roots are irrational in the denominator

What is the result of multiplying 3 over the square root of 2 by square root of 2 over square root of 2?

• 6 over the square root of 2

• 3

• 3 times the square root of 2 over 2

• 3 over 2

What does 'rationalizing a denominator' involve?

• Eliminating the root from the denominator

• Converting the denominator into a perfect square

• Multiplying the denominator by the numerator

• Adding a root to the denominator