solution

Asked by vray77795 | 27th May, 2021, 08:17: AM

Expert Answer:

begin mathsize 16px style fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator square root of 48 plus square root of 18 end fraction
equals fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator square root of 16 cross times 3 end root plus square root of 9 cross times 2 end root end fraction
equals fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator 4 square root of 3 plus 3 square root of 2 end fraction
Rationalising space the space denominator
equals fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator 4 square root of 3 plus 3 square root of 2 end fraction cross times fraction numerator open parentheses 4 square root of 3 minus 3 square root of 2 close parentheses over denominator open parentheses 4 square root of 3 minus 3 square root of 2 close parentheses end fraction
equals fraction numerator open parentheses 7 square root of 3 minus 5 square root of 2 close parentheses open parentheses 4 square root of 3 minus 3 square root of 2 close parentheses over denominator open parentheses 4 square root of 3 close parentheses squared minus open parentheses 3 square root of 2 close parentheses squared end fraction
equals fraction numerator open parentheses 7 square root of 3 minus 5 square root of 2 close parentheses open parentheses 4 square root of 3 minus 3 square root of 2 close parentheses over denominator 48 minus 18 end fraction
equals fraction numerator open parentheses 7 square root of 3 minus 5 square root of 2 close parentheses open parentheses 4 square root of 3 minus 3 square root of 2 close parentheses over denominator 30 end fraction end style

Answered by Yasmeen Khan | 28th May, 2021, 12:19: AM