Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root.

Front

How do you simplify √48?

Back

√48 = √(16 * 3) = √16 * √3 = 4√3.

Front

What is the process to simplify a radical?

Back

To simplify a radical, factor the number under the radical into its prime factors, then pair the factors to take them out of the radical.

Front

What is the simplified form of √96?

Back

√96 = √(16 * 6) = √16 * √6 = 4√6.

Front

How do you find the area of a rectangle with radical dimensions?

Back

Multiply the length and width, simplifying any radicals in the result.

Front

What is the simplified form of 3√2 - 3√18?

Back

3√2 - 3√18 = 3√2 - 3√(9 * 2) = 3√2 - 9√2 = -6√2.

Front

What is the simplified form of √275?

Back

√275 = √(25 * 11) = √25 * √11 = 5√11.

Front

What does it mean to rationalize the denominator?

Back

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

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a whole number that, when multiplied by itself, gives the perfect square.

Front

How do you combine like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients while keeping the radical part the same.