Question

rationalizes the denominator of √7-√3 / 3√7+2√3​

Answer 1

Question about

Rationalizing the denominator

7-3√2/7+3√2

Multiply the numerator and denominator by 7-3√2

=(7-3√2)/(7+3√2)×(7-3√2)/(7-3√2)

write the repeated multiplication in exponential form.

(7-3√2)²/49-9×2

using(a-b)²=a²-2ab+b² expand the expressions

49-42√2+18/49-18

Add the numbers.

67-42√2/49-18

=67-42√2/31