rationalize the denominator 16/√41-5
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Answered by
26
= 16 / √41 - 5
= We will multiply Numereator and Denominator by √41 + 5
= 16 / √41 - 5 * √41 + 5 / √41 + 5
= Using ( a + b ) ( a - b ) = a² - b² in Denominator
= 16 ( √41 + 5 ) / ( √41 )² - ( 5)²
= 16(√41 + 5) / 41 - 25
= 16(√41 + 5 ) / 16
= √41 + 5
= We will multiply Numereator and Denominator by √41 + 5
= 16 / √41 - 5 * √41 + 5 / √41 + 5
= Using ( a + b ) ( a - b ) = a² - b² in Denominator
= 16 ( √41 + 5 ) / ( √41 )² - ( 5)²
= 16(√41 + 5) / 41 - 25
= 16(√41 + 5 ) / 16
= √41 + 5
Answered by
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