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Question
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Solution
√2 = 1.4 and √3 = 1.7
`1/( 3 + 2√2 )`
= `1/( 3 + 2√2 ) xx ( 3 - 2√2)/( 3 - 2√2)`
= `( 3 - 2√2 )/((3)^2 - (2√2)^2)`
= `( 3 - 2√2 )/( 9 - 8 )`
= 3 - 2√2
= 3 - 2( 1.4 )
= 3 - 2.8
= 0.2
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