Radical Review

Front

What is the simplified form of \(\sqrt{40}\)?

Back

\(2\sqrt{10}\)

Front

What is the simplified form of \(\sqrt{24}\)?

Back

\(2\sqrt{6}\)

Front

What is \(\frac{1}{\sqrt{2}}\) simplified to?

Back

\(\frac{\sqrt{2}}{2}\)

Front

What is the simplified form of \(\sqrt{\frac{1}{16}}\)?

Back

\(\frac{1}{4}\)

Front

Simplify: -2\(\sqrt{2}\) - 3\(\sqrt{8}\) - \(\sqrt{5}\)

Back

-8\(\sqrt{2}\) - \(\sqrt{5}\)

Front

What is the definition of a radical?

Back

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

Front

What is the square root of a number?

Back

The square root of a number \(x\) is a value \(y\) such that \(y^2 = x\).

Front

What is the product property of square roots?

Back

The product property states that \(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\).

Front

What is the quotient property of square roots?

Back

The quotient property states that \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\) for \(b \neq 0\).

Front

How do you simplify \(\sqrt{a^2}\)?

Back

\(\sqrt{a^2} = |a|\), which is the absolute value of \(a\).