Bananas1234
  • Bananas1234
quare root of 63/25
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Bananas1234
  • Bananas1234
Square*
johnweldon1993
  • johnweldon1993
\[\large \sqrt{\frac{63}{25}}\] So we can rewrite this as \[\large \frac{\sqrt{63}}{\sqrt{25}}\] right? now, what is the square root of 25?
Bananas1234
  • Bananas1234
5

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johnweldon1993
  • johnweldon1993
Right...so lets write this as \[\large \frac{\sqrt{63}}{5}\] good so far?
Bananas1234
  • Bananas1234
yes
Bananas1234
  • Bananas1234
whats next?
johnweldon1993
  • johnweldon1993
Now...we know that we cant simply say 63 is the square of some number...so we need to think of something else we can do Hint* what are the factors of 63?
Bananas1234
  • Bananas1234
1,3,7,9,21,63
johnweldon1993
  • johnweldon1993
And now which of those numbers is a perfect square?
Bananas1234
  • Bananas1234
1and 9 is that it?
johnweldon1993
  • johnweldon1993
Not quite...now that we know 9 is a perfect square...what times 9 = 63...well 7 right? So we can write 63 as 9 times 7 right? \[\large \frac{\sqrt{63}}{5} = \frac{\sqrt{9\times 7}}{5}\] And since we know the square root of 9 = 3...we have \[\large \frac{3\sqrt{7}}{5}\]
Bananas1234
  • Bananas1234
i see
Bananas1234
  • Bananas1234
Thank you!

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