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14 May, 18:32

Simplify each radical expression. Leave in radical form. Show your work.√ (17+2√22)

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  1. 14 May, 18:51
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    First put the equation under one denominator.

    17/1+2/√22 = (17√22 + 2) / √22

    rationalize this equation by multiplying both numerator and denominator by √22.

    = (17*√22*√22 + 2*√22) / (√22*√22)

    = (17*22 + 2√22) / 22

    = (374 + 2√22) / 22

    So, from the equation,

    √ (17+2√22) = √ ((374 + 2√22) / 22)
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