Evaluate, correct to one place of decimal, the expression 5/(root 20-root 10), if root 5=2.2 and root 10=3.2.

Asked by 17uma154 | 29th Jun, 2019, 03:42: PM

Expert Answer:

begin mathsize 16px style fraction numerator 5 over denominator square root of 20 minus square root of 10 end fraction
equals fraction numerator 5 over denominator square root of 20 minus square root of 10 end fraction cross times fraction numerator square root of 20 plus square root of 10 over denominator square root of 20 plus square root of 10 end fraction
equals fraction numerator 5 open parentheses square root of 20 plus square root of 10 close parentheses over denominator 20 minus 10 end fraction
equals fraction numerator 5 open parentheses square root of 5 cross times 4 end root plus square root of 10 close parentheses over denominator 10 end fraction
equals fraction numerator 2 square root of 5 plus square root of 10 over denominator 2 end fraction
equals fraction numerator begin display style 2 cross times 2.2 plus 3.2 end style over denominator begin display style 2 end style end fraction
equals 3.8 end style

Answered by Sneha shidid | 30th Jun, 2019, 11:03: AM