Radicals Review

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root. For example, √4 represents the square root of 4, which is 2.

Front

How do you simplify √(a*b)?

Back

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

Front

What is the process to simplify √(a^2)?

Back

√(a^2) = |a|, which means the absolute value of a.

Front

How do you add or subtract radicals?

Back

You can only add or subtract radicals that have the same index and radicand. For example, 2√3 + 3√3 = 5√3.

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified using the property: √a * √b = √(a*b).

Front

Simplify: 2√5 - √5 + 4√5 + √3

Back

5√5 + √3.

Front

What is the simplified form of √(x^2y)?

Back

√(x^2y) = x√y, assuming x is non-negative.

Front

How do you multiply radicals?

Back

To multiply radicals, multiply the numbers inside the radicals and then take the square root: √a * √b = √(a*b).

Front

Simplify: 6√2 ⋅ 5√14

Back

60√7.

Front

What is the simplified form of √96?

Back

4√6.