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ICSE Class 9 Answered

If under root 5 = 2.236 and under root 10 = 3.162, find the value of: 15 ÷ under root 10 + under root 20 + under root 40 - under root 5 - under root 80
Asked by bhengrajp | 18 May, 2019, 11:31: AM
answered-by-expert Expert Answer
begin mathsize 16px style
fraction numerator 15 over denominator square root of 10 space plus square root of 20 space plus space square root of 40 space minus space square root of 5 space minus space square root of 80 end fraction
equals space fraction numerator 15 over denominator square root of 10 space plus 2 square root of 5 space plus 2 space square root of 10 space minus space square root of 5 space minus space 4 square root of 5 end fraction
equals fraction numerator 15 over denominator 3 square root of 10 space minus 3 square root of 5 space end fraction
equals fraction numerator 15 over denominator 3 open parentheses 3.162 close parentheses space minus 3 open parentheses 2.236 close parentheses space end fraction
equals fraction numerator 15 over denominator 3 open parentheses 3.162 close parentheses space minus 3 open parentheses 2.236 close parentheses space end fraction
equals fraction numerator 15 over denominator 2.778 end fraction
equals space 5.3995 end stylebegin mathsize 16px style
fraction numerator 15 over denominator square root of 10 space plus square root of 20 space plus space square root of 40 space minus space square root of 5 space minus space square root of 80 end fraction
equals space fraction numerator 15 over denominator square root of 10 space plus 2 square root of 5 space plus 2 space square root of 10 space minus space square root of 5 space minus space 4 square root of 5 end fraction
equals fraction numerator 15 over denominator 3 square root of 10 space minus 3 square root of 5 space end fraction
equals fraction numerator 15 over denominator 3 open parentheses 3.162 close parentheses space minus 3 open parentheses 2.236 close parentheses space end fraction
equals fraction numerator 15 over denominator 3 open parentheses 3.162 close parentheses space minus 3 open parentheses 2.236 close parentheses space end fraction
equals fraction numerator 15 over denominator 2.778 end fraction
equals space 5.3995
end style
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