Powers and Roots Practice Test 3

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Question : 30 of 40

Marks: +1, -0

Given

√2=1.414

, the square root of

{√2-1}/{√2+1}

is closest to:

1.414
0.586
0.414
0.172

Solution:

Given

√2=1.414

Then,

√{{√2-1}/{√2+1}}

=√{{√2-1}/{√2+1} ×{√2-1}/{√2-1}}

=√{{(√2-1)^2}/{2-1}}

=√2-1

= 1.414 – 1 = 0.414

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