Question
Divide V95/3V5. Provide an exact answer.
Answers
Answered by
GPT 3.5
To divide V95 by 3V5, we can rationalize the denominator by multiplying the numerator and denominator by the conjugate of 3V5, which is 3V5:
(V95/3V5) = (V95/3V5) * (3V5/3V5)
= (3V95V5)/(9 * 5)
= (3 * V95V5)/45
= (3/45) * V95V5
= V(3/45 * 95 * 5)
= V(3/45 * 475)
= V(3/15 * 5 * 5 * 19)
= V( 3/15 * 5^2 * 19)
= V(3 * 19)/ V(15)
= V57 / V15
Therefore, the exact answer is V57/V15.
(V95/3V5) = (V95/3V5) * (3V5/3V5)
= (3V95V5)/(9 * 5)
= (3 * V95V5)/45
= (3/45) * V95V5
= V(3/45 * 95 * 5)
= V(3/45 * 475)
= V(3/15 * 5 * 5 * 19)
= V( 3/15 * 5^2 * 19)
= V(3 * 19)/ V(15)
= V57 / V15
Therefore, the exact answer is V57/V15.
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