Simplifying Radicals and Cube Roots

Multiply the numerator and denominator by the same number.

Rewrite the fraction as a product of two fractions.

Take the square root of the numerator and the denominator separately.

Add the numerator and the denominator.

Because 4 and 9 are both prime numbers.

Because 4 and 9 are both odd numbers.

Because 4 and 9 are both perfect squares.

Because 4 and 9 are both even numbers.

4/5

3/4

2/3

1/2

-2 times the square root of 121/1

-2 times the square root of 11/11

-2/1 times the square root of 1/121

-2/1 times the square root of 11/1

-4/11

-1/11

-2/11

-3/11

4

3

2

1

5

7

6

4

Because 27 and 125 are both prime numbers.

Because 27 and 125 are both odd numbers.

Because 27 and 125 are both perfect cubes.

Because 27 and 125 are both even numbers.

1/2

3/5

4/5

2/3

Add the cube root to itself.

Multiply the cube root by itself.

Divide the cube root by a common factor.

Rewrite the cube root as a product of three equal factors.