How do you simplify $\frac{\sqrt{540 x^{6}}}{\sqrt{10 x}}$ $\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }$ ?

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How do you simplify $\frac{\sqrt{540 x^{6}}}{\sqrt{10 x}}$ $\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }$ ?

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Answer 1 · 2018-03-15T21:20:41

$3 x^{2} \sqrt{6 x}$ $3x^2sqrt(6x)$

Explanation:

Extend the expression.

$\frac{\sqrt{540 x^{6}}}{\sqrt{10 x}} = \frac{\sqrt{10 x} \cdot \sqrt{54 x^{5}}}{\sqrt{10 x}}$ $sqrt(540x^6)/sqrt(10x)=(sqrt(10x)*sqrt(54x^5))/sqrt(10x)$
Numerator and denominator like terms cancel and you are left with $\sqrt{54 x^{5}}$ $sqrt(54x^5)$ .
You can simplify this even further by factoring $\sqrt{9 \cdot 6 \cdot x^{5}}$ $sqrt(9*6*x^5)$ and now you get $3 x^{2} \sqrt{6 x}$ $3x^2sqrt(6x)$

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How do you simplify $\frac{\sqrt{540 x^{6}}}{\sqrt{10 x}}$ $\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }$ ?

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Explanation:

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How do you simplify √540x6√10x\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }?

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How do you simplify $\frac{\sqrt{540 x^{6}}}{\sqrt{10 x}}$ $\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }$ ?