If √2 = 1.4142, then the value of 7 / (4 + √2)

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If √2 = 1.4142, then the value of 7 / (4 + √2) is ?

1. 3.5858
2. 4.4142
3. 1.2929
4. 1.5858

Correct Option: C

√7 / (4 + √2) = [7 / (4 + √2)] x [(4 - √2 ) / (4 - √2]
= 7(4 - √2) / (16 - 2)
[∵ (a + b)(a - b) = a² - b²]
= 7(4 - √2 )/14
= (4 - √2)/2
= (4 - 1.4142)/2
= 2.5858/2 = 1.2929