How do you simplify $\frac{\sqrt{1800}}{\sqrt{60}}$ $sqrt1800/sqrt60$ ?

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How do you simplify $\frac{\sqrt{1800}}{\sqrt{60}}$ $sqrt1800/sqrt60$ ?

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Answer 1 · 2018-05-17T01:34:53

$\frac{\sqrt{1800}}{\sqrt{60}} = \sqrt{30}$ $sqrt1800/sqrt60=sqrt30$

Explanation:

show below

$\frac{\sqrt{1800}}{\sqrt{60}} = \frac{\sqrt{100 \cdot 18}}{\sqrt{4 \cdot 15}}$ $sqrt1800/sqrt60=[sqrt(100*18)]/[sqrt(4*15)]$

$\frac{10 \sqrt{18}}{2 \sqrt{15}} = \frac{10 \sqrt{9 \cdot 2}}{2 \sqrt{15}} = \frac{30 \sqrt{2}}{2 \sqrt{15}} = \frac{15 \sqrt{2}}{\sqrt{15}} = \sqrt{15} \cdot \sqrt{2} = \sqrt{30}$ $[10sqrt18]/[2sqrt15]=[10sqrt(9*2)]/[2sqrt15]=[30sqrt2]/[2sqrt15]=[15sqrt2]/[sqrt15]=sqrt15*sqrt2=sqrt30$

note that

$\sqrt{15} \cdot \sqrt{15} = 15$ $sqrt15*sqrt15=15$

Answer 2 · 2018-05-17T01:35:50

See a solution process below:

Explanation:

We can use this rule for radicals to combine the radicals:

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $sqrt(color(red)(a))/sqrt(color(blue)(b)) = sqrt(color(red)(a)/color(blue)(b))$

$\frac{\sqrt{1800}}{\sqrt{60}} \Rightarrow \sqrt{\frac{1800}{60}} \Rightarrow \sqrt{30}$ $sqrt(color(red)(1800))/sqrt(color(blue)(60)) => sqrt(color(red)(1800)/color(blue)(60)) => sqrt(30)$

Or

$\sqrt{30} ≅ 5.477$ $sqrt(30) ~= 5.477$

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How do you simplify $\frac{\sqrt{1800}}{\sqrt{60}}$ $sqrt1800/sqrt60$ ?

2 Answers

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How do you simplify $\frac{\sqrt{1800}}{\sqrt{60}}$ $sqrt1800/sqrt60$ ?