Question

if ✓2=1.4142 then ✓✓2-1÷✓2+1

Answer 1

Solution :

Given √2 = 1.4142 ---( 1 )

i ) √[(√2-1)/(√2+1)]

=√ [(√2-1)(√2-1)]/[(√2+1)(√2-1)]

= √(√2-1)²/[(√2)²-1²]

= √(√2-1)²/(2-1)

= √(√2-1)²

= √2 - 1

= 1.4142 - 1

= 0.4142

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