Simplifying, Adding & Subtracting Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify √(a * b)?

Back

√(a * b) = √a * √b, provided a and b are non-negative.

Front

What is the square root of 16?

Back

4

Front

How do you add √a and √b?

Back

You can only add √a and √b if a = b; otherwise, it remains as √a + √b.

Front

What is the result of √(25) + √(16)?

Back

5 + 4 = 9.

Front

How do you subtract √a from √b?

Back

You can only subtract if a = b; otherwise, it remains as √b - √a.

Front

What is the simplified form of √(36)?

Back

6

Front

What is the principle of combining like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients.

Front

What is the simplified form of 3√(12)?

Back

3√(12) = 3 * 2√(3) = 6√(3).

Front

How do you multiply two radicals, √a and √b?

Back

√a * √b = √(a * b).