How do you simplify the radical expression by rationalizing the denominator $\frac{2}{\sqrt{30}}$ $2/sqrt30$ ?

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How do you simplify the radical expression by rationalizing the denominator $\frac{2}{\sqrt{30}}$ $2/sqrt30$ ?

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Answer 1 · 2016-11-19T23:07:46

$\frac{\sqrt{30}}{15}$ $sqrt30/15$

Explanation:

Rationalize $\frac{2}{\sqrt{30}}$ $2/sqrt30$

Multiply by $\frac{\sqrt{30}}{\sqrt{30}}$ $sqrt30/sqrt30$ (which equals one).

$\frac{2}{\sqrt{30}} \cdot \frac{\sqrt{30}}{\sqrt{30}} = \frac{2 \sqrt{30}}{\sqrt{900}} = \frac{2 \sqrt{30}}{30}$ $2/sqrt30 * sqrt30/sqrt30 =(2sqrt30)/sqrt900 =(2sqrt30)/30$

The fraction $\frac{2}{30} = \frac{1}{15}$ $2/30 = 1/15$ , so...

$\frac{2 \sqrt{30}}{30} = \frac{1 \sqrt{30}}{15} = \frac{\sqrt{30}}{15}$ $(2sqrt30)/30=(1sqrt30)/15=sqrt30/15$

The square root of $30$ $30$ cannot be further simplified because it has no factors which are perfect squares.

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How do you simplify the radical expression by rationalizing the denominator $\frac{2}{\sqrt{30}}$ $2/sqrt30$ ?

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Science

Math

Humanities

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How do you simplify the radical expression by rationalizing the denominator 2√302/sqrt30?

1 Answer

Explanation:

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How do you simplify the radical expression by rationalizing the denominator $\frac{2}{\sqrt{30}}$ $2/sqrt30$ ?