How do you simplify $\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}}$ $sqrt(30)/(sqrt(2)*sqrt(5)$ ?

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How do you simplify $\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}}$ $sqrt(30)/(sqrt(2)*sqrt(5)$ ?

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Answer 1 · 2018-06-06T09:27:43

$⎡ ⎢ ⎣ \frac{\sqrt{30}}{(\sqrt{2} \cdot \sqrt{5})} ⎤ ⎥ ⎦ = \frac{\sqrt{30}}{\sqrt{10}} = \sqrt{\frac{30}{10}} = \sqrt{3}$ $[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3$

Explanation:

Note that:

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $color(red)[sqrta/sqrtb=sqrt(a/b)]$

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $color(red)[sqrta*sqrtb=sqrt(a*b)]$

$⎡ ⎢ ⎣ \frac{\sqrt{30}}{(\sqrt{2} \cdot \sqrt{5})} ⎤ ⎥ ⎦ = \frac{\sqrt{30}}{\sqrt{10}} = \sqrt{\frac{30}{10}} = \sqrt{3}$ $[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3$

Answer 2 · 2018-06-06T09:28:45

$\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}} = \frac{\sqrt{30}}{\sqrt{2 \cdot 5}} = \sqrt{\frac{30}{10}} = \sqrt{3}$ $sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3$

Explanation:

$\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}} = \frac{\sqrt{30}}{\sqrt{2 \cdot 5}} = \sqrt{\frac{30}{10}} = \sqrt{3}$ $sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3$

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How do you simplify $\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}}$ $sqrt(30)/(sqrt(2)*sqrt(5)$ ?

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How do you simplify sqrt(30)/(sqrt(2)*sqrt(5)√30√2⋅√5sqrt(30)/(sqrt(2)*sqrt(5)?

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How do you simplify $\frac{\sqrt{30}}{\sqrt{2} \cdot \sqrt{5}}$ $sqrt(30)/(sqrt(2)*sqrt(5)$ ?