Operations with Radicals

Front

What is a radical?

Back

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

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 48?

Back

4√3

Front

How do you simplify √150?

Back

5√6

Front

What is the simplified form of 2√24?

Back

4√6

Front

What is the result of simplifying 6√2 ⋅ 5√14?

Back

60√7

Front

What is the product of √a and √b?

Back

√a ⋅ √b = √(a*b) for non-negative a and b.

Front

What is the sum of √a and √a?

Back

√a + √a = 2√a.

Front

How do you simplify √(x^2)?

Back

√(x^2) = |x|, the absolute value of x.

Front

What is the value of √(4) + √(9)?

Back

√(4) + √(9) = 2 + 3 = 5.