How do you simplify the expression 4 over square root of 7 + the square root of 3?

1 Answer
Alan P.
Sep 15, 2015

(sqrt(7) - sqrt(3))

Explanation:

4/(sqrt(7)+sqrt(3))
color(white)("XXXXX")rationalizing the denominator:
=4/(sqrt(7)-sqrt(3))xx(sqrt(7)+sqrt(3))/(sqrt(7)+sqrt(3))

=(4(sqrt(7)+sqrt(3)))/((sqrt(7))^2-(sqrt(3))^2)

=(4(sqrt(7)+sqrt(3)))/(7-3)

=(cancel(4)(sqrt(7)+sqrt(3)))/cancel(4)

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