How do you rationalize the denominator and simplify $\frac{\sqrt{21}}{\sqrt{6}}$ $sqrt21/sqrt6$ ?

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How do you rationalize the denominator and simplify $\frac{\sqrt{21}}{\sqrt{6}}$ $sqrt21/sqrt6$ ?

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Answer 1 · 2016-03-15T19:09:10

$\frac{\sqrt{106}}{6}$ $sqrt(106)/6$

Explanation:

$1$ $1$ . Since the denominator of the fraction contains a radical, start by multiplying the numerator and denominator by $\frac{\sqrt{6}}{\sqrt{6}}$ $sqrt(6)/sqrt(6)$ . Note that $\frac{\sqrt{6}}{\sqrt{6}} = 1$ $sqrt(6)/sqrt(6)=1$ , so that value of the fraction remains the same.

$\frac{\sqrt{21}}{\sqrt{6}}$ $sqrt(21)/sqrt(6)$

$= \frac{\sqrt{21}}{\sqrt{6}} (\frac{\sqrt{6}}{\sqrt{6}})$ $=sqrt(21)/sqrt(6)(sqrt(6)/sqrt(6))$

$2$ $2$ . Simplify.

$= \frac{\sqrt{21 \cdot 6}}{6}$ $=sqrt(21*6)/6$

$=color(green)(|bar(ul(color(white)(a/a)sqrt(106)/6color(white)(a/a)|)))$

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How do you rationalize the denominator and simplify $\frac{\sqrt{21}}{\sqrt{6}}$ $sqrt21/sqrt6$ ?

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How do you rationalize the denominator and simplify sqrt21/sqrt6√21√6sqrt21/sqrt6?

1 Answer

Explanation:

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Impact of this question

How do you rationalize the denominator and simplify $\frac{\sqrt{21}}{\sqrt{6}}$ $sqrt21/sqrt6$ ?