Simplifying Radicals

Front

What is the square root of 361?

Back

19

Front

Which is equivalent to 2^4?

Back

16

Front

What is the simplified form of \(\sqrt{243}\)?

Back

9\sqrt{3}

Front

What is \(\sqrt{1}\)?

Back

1

Front

Simplify: 3\sqrt{16}

Back

12

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 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 \(\sqrt{a^2}\)?

Back

a (for a ≥ 0)

Front

What is the product property of square roots?

Back

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

Front

What is the quotient property of square roots?

Back

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