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math 117

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simplify by factoring

sqrt1575to the 4th

sorry not sure how to type it out right

  • math 117 -

    (√1575)^4
    = (1575^(1/2))^4
    = 1575^2 = 2480625

  • math 117 -

    1575=3*3*5*5*7=3^2*5^2*7

    sqroot(1575)=sqroot(3^2*5^2*7)

    =3*5*sqroot(7)=15*sqroot(7)


    sqroot(1575)=15*sqroot(7)

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