Multiplying Radicals

Front

Simplify: $\sqrt{6} \cdot \sqrt{6}$

Back

6

Front

Simplify: $-2\sqrt{10} \cdot 3\sqrt{20}$

Back

-60\sqrt{2}

Front

Simplify: $6\sqrt{2} \cdot 5\sqrt{14}$

Back

60\sqrt{7}

Front

Simplify: $(-2\sqrt{7})(3\sqrt{28})$

Back

-84

Front

Simplify: $\sqrt{30} \cdot \sqrt{20}$

Back

10\sqrt{6}

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as $\sqrt{a} \cdot \sqrt{b} = \sqrt{(a \cdot b)}$.

Front

What is the square root of a product?

Back

The square root of a product is equal to the product of the square roots: $\sqrt{(a \cdot b)} = \sqrt{a} \cdot \sqrt{b}$.

Front

What is the square root of a quotient?

Back

The square root of a quotient is equal to the quotient of the square roots: $\sqrt{(a/b)} = \frac{\sqrt{a}}{\sqrt{b}}$.

Front

What is the product of a radical and a rational number?

Back

The product of a radical and a rational number can be expressed as: $a\sqrt{b} = (a\sqrt{b})$.

Front

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

Back

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