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CBSE Class 9 Answered

square root of 18 minus 6 square root of 5 end root space equals square root of a space space end root plus square root of b. space space end root space f i n d space a plus b space a n d space a b
Asked by Nimmi | 20 Feb, 2019, 01:46: PM
answered-by-expert Expert Answer
This problem is solved only if begin mathsize 12px style square root of 18 minus 6 square root of 5 end root space equals space square root of a space minus space square root of b end style
begin mathsize 12px style square root of 18 minus 6 square root of 5 end root space equals space square root of a space minus space square root of b B y space s q u a r i n g space b o t h space s i d e s space comma space space 18 minus 6 square root of 5 space equals open parentheses square root of a space minus space square root of b close parentheses squared space equals space a plus b minus 2 square root of a space b end root 15 plus 3 space minus 2 square root of 9 cross times 5 end root space equals space a plus b minus 2 square root of a space b end root 15 plus 3 space minus 2 square root of 15 cross times 3 end root space equals space a plus b minus 2 square root of a space b end root end style
 
By comparing both sides ,  a+b = 15+3 = 18   and ab = 15×3 = 45
Answered by Thiyagarajan K | 20 Feb, 2019, 11:25: PM

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