REVIEW- SIMPLIFYING & CONVERTING RADICALS

Front

What is the simplified form of \(\sqrt{125}\)?

Back

\(5\sqrt{5}\)

Front

What is the simplest form of \(\sqrt[3]{54}\)?

Back

\(3\sqrt[3]{2}\)

Front

Simplify the radical \(\sqrt{20a^2b^4}\).

Back

\(2ab^2\sqrt{5}\)

Front

What is the simplified form of \(\sqrt{50}\)?

Back

\(5\sqrt{2}\)

Front

Convert \(x^{1/2}\) to radical form.

Back

\(\sqrt{x}\)

Front

What is the definition of a radical?

Back

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

Front

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

Back

\(a\) (for non-negative a) because the square root of a square returns the base.

Front

What is the product property of radicals?

Back

\(\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}\) for non-negative a and b.

Front

What is the quotient property of radicals?

Back

\(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\) for non-negative a and b.

Front

How do you express \(\sqrt{a^2b}\) in simplified form?

Back

\(a\sqrt{b}\) (for non-negative a) because you take the square root of the square.