3√2+1/2√5-3
rationalize it
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Answer:
Now,
(3√2 + 1)/(2√5 - 3)
We rationalize the denominator by multiplying both the numerator and the denominator by conjugate rational number (2√5 + 3)
Then,
(3√2 + 1)/(2√5 - 3)
= {(3√2 + 1)(2√5 + 3)}/{(2√5 - 3)(2√5 + 3)}
= (6√10 + 9√2 + 2√5 + 3)/(20 - 9)
= (6√10 + 9√2 + 2√5 + 3)/11,
which is the required value.
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