Simplify the expression by removing all factors that are perfect squares from inside the radicals, and combine the terms.
√24/125
Assuming you really mean √(24/125). This is equivalent to √24/√125
√24 = √[4(6)] = (√4)(√6) = 2(√6)
√125 = √[25(5)] = (√25)(√5) = 5(√5)
So we now have 2(√6)/[5(√5)]
Generally, you would rationalize the denominator by multiplying both numerator and denominator of this fraction by √5.
We then have 2√30/25
√24 = √(4 • 6) = √4√6 = 2√6
√125 = √(25 • 5) = √25√5 = 5√5
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Answers & Comments
Assuming you really mean √(24/125). This is equivalent to √24/√125
√24 = √[4(6)] = (√4)(√6) = 2(√6)
√125 = √[25(5)] = (√25)(√5) = 5(√5)
So we now have 2(√6)/[5(√5)]
Generally, you would rationalize the denominator by multiplying both numerator and denominator of this fraction by √5.
We then have 2√30/25
√24 = √(4 • 6) = √4√6 = 2√6
√125 = √(25 • 5) = √25√5 = 5√5