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Bananas1234

  • one year ago

quare root of 63/25

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  1. Bananas1234
    • one year ago
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    Square*

  2. johnweldon1993
    • one year ago
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    \[\large \sqrt{\frac{63}{25}}\] So we can rewrite this as \[\large \frac{\sqrt{63}}{\sqrt{25}}\] right? now, what is the square root of 25?

  3. Bananas1234
    • one year ago
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    5

  4. johnweldon1993
    • one year ago
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    Right...so lets write this as \[\large \frac{\sqrt{63}}{5}\] good so far?

  5. Bananas1234
    • one year ago
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    yes

  6. Bananas1234
    • one year ago
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    whats next?

  7. johnweldon1993
    • one year ago
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    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?

  8. Bananas1234
    • one year ago
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    1,3,7,9,21,63

  9. johnweldon1993
    • one year ago
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    And now which of those numbers is a perfect square?

  10. Bananas1234
    • one year ago
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    1and 9 is that it?

  11. johnweldon1993
    • one year ago
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    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 \[\large \frac{3\sqrt{7}}{5}\]

  12. Bananas1234
    • one year ago
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    i see

  13. Bananas1234
    • one year ago
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    Thank you!

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