REVIEW- SIMPLIFYING & CONVERTING RADICALS

Front

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

Back

\(5\sqrt{5}\)

Front

Simplify \(\sqrt{192k^7q^8}\).

Back

\(8k^3q^4\sqrt{3k}\)

Front

Convert the expression \(y^{1/2}\) to radical form.

Back

\(\sqrt{y}\)

Front

Convert the expression \(\sqrt{23}\) to exponential form.

Back

\(23^{1/2}\)

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

What is the index of a radical?

Back

The index of a radical indicates the degree of the root; for example, in \(\sqrt{x}\), the index is 2.

Front

How do you convert a radical expression to exponential form?

Back

Use the formula \(\sqrt[n]{x} = x^{1/n}\) to convert.

Front

What is the product property of radicals?

Back

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

Front

What is the quotient property of radicals?

Back

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

Front

Simplify \(\sqrt{50}\).

Back

\(5\sqrt{2}\)