Simplifying Radicals and Exponents

Front

Define a radical.

Back

A radical is a symbol that represents the root of a number, such as the square root (√) or cube root (∛).

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 9.

Front

Back

@@rac{{ ext{√72}}}{{ ext{√8}}} = ext{√9} = 3.

Front

What is the cube root of 64?

Back

The cube root of 64 is 4, since 4³ = 64.

Front

Back

Front

What is the principle of simplifying radicals?

Back

The principle of simplifying radicals involves expressing a radical in its simplest form by factoring out perfect squares or cubes.

Front

Back

Front

Back

Front

Back

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.