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Question
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
Options
13
19
5
35
Solution
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as 19.
Explanation:
Given: Number `7/(3sqrt(3) - 2sqrt(2))`
After rationalising: `7/(3sqrt(3) - 2sqrt(2)) = 7/(3sqrt(3) - 2sqrt(2)) xx (3sqrt(3) + 2sqrt(2))/(3sqrt(3) + 2sqrt(2))`
= `(7(3sqrt(3) + 2sqrt(2)))/((3sqrt(3))^2 - 2(sqrt(2))^2`
= `(7(3sqrt(3) + 2sqrt(2)))/(27 - 8)`
= `(7(3sqrt(3) + 2sqrt(2)))/19`
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