What is $\sqrt{187200}$ $sqrt(187200)$ ?

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What is $\sqrt{187200}$ $sqrt(187200)$ ?

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Answer 1 · 2017-02-03T19:36:47

$432.666153$ $432.666153$

Explanation:

The square root of a non-negative number $n$ $n$ is the non-negative number which, when squared, gives $n$ $n$ as the result.

There isn't really too much to do here. Trying to find a perfect square would be in vain, since the result is a decimal (with six decimal digits, mind you), so your best bet is to just use a calculator.

Answer 2 · 2017-02-03T20:54:39

$\sqrt{187200} = 120 \sqrt{13}$ $sqrt(187200) = 120sqrt(13)$

Explanation:

To simplify $\sqrt{187200}$ $sqrt(187200)$ , first find the prime factorisation of $187200$ $187200$ ...

$0187200$ $color(white)(0)187200$
$00/00\$ $color(white)(00)"/"color(white)(00)"\"$
$0200093600$ $color(white)(0)2color(white)(000)93600$
$00000/00\$ $color(white)(00000)"/"color(white)(00)"\"$
$0000200046800$ $color(white)(0000)2color(white)(000)46800$
$00000000/00\$ $color(white)(00000000)"/"color(white)(00)"\"$
$0000000200023400$ $color(white)(0000000)2color(white)(000)23400$
$00000000000/00\$ $color(white)(00000000000)"/"color(white)(00)"\"$
$0000000000200011700$ $color(white)(0000000000)2color(white)(000)11700$
$00000000000000/00\$ $color(white)(00000000000000)"/"color(white)(00)"\"$
$000000000000020005850$ $color(white)(0000000000000)2color(white)(000)5850$
$00000000000000000/00\$ $color(white)(00000000000000000)"/"color(white)(00)"\"$
$000000000000000020002925$ $color(white)(0000000000000000)2color(white)(000)2925$
$00000000000000000000/00\$ $color(white)(00000000000000000000)"/"color(white)(00)"\"$
$00000000000000000003000975$ $color(white)(0000000000000000000)3color(white)(000)975$
$00000000000000000000000/0\$ $color(white)(00000000000000000000000)"/"color(white)(0)"\"$
$0000000000000000000000300325$ $color(white)(0000000000000000000000)3color(white)(00)325$
$0000000000000000000000000/0\$ $color(white)(0000000000000000000000000)"/"color(white)(0)"\"$
$00000000000000000000000050065$ $color(white)(000000000000000000000000)5color(white)(00)65$
$00000000000000000000000000/00\$ $color(white)(00000000000000000000000000)"/"color(white)(00)"\"$
$0000000000000000000000000500013$ $color(white)(0000000000000000000000000)5color(white)(000)13$

That is:

$187200 = 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13$ $187200 = 2^6*3^2*5^2*13$

So:

$\sqrt{187200} = 2^{3} \cdot 3 \cdot 5 \sqrt{13} = 120 \sqrt{13}$ $sqrt(187200) = 2^3*3*5 sqrt(13) = 120sqrt(13)$

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What is $\sqrt{187200}$ $sqrt(187200)$ ?

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