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Mathematics 7 Online
OpenStudy (anonymous):

Which number equals

OpenStudy (anonymous):

\[\sqrt{1,029}\]

hero (hero):

HInt: Use a calculator

OpenStudy (anonymous):

Its equal to 7 sqrt 21

OpenStudy (anonymous):

It's not a perfect square though

hero (hero):

@jazy, it's not nice to give answers without explanation.

OpenStudy (anonymous):

thanks :)

OpenStudy (anonymous):

I'll work on that! Your welcome!

hero (hero):

Alternate method: Find out what prime number the given number is divisible by, then keep dividing by that number until you get a perfect square. In this case 1 + 0 + 2 + 9 = 12 which is divisible by 3, therefore, dividing by multiples of three yields: \(\sqrt{49 \times 21}\) Next split the square root: \(\sqrt{49} \times \sqrt{21}\) Now take the square root of 49: \(7\sqrt{21}\)

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