If √(2)=1.4142, the value of 7/((3+√(2))) is · ABC26GN1439

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: R.R.B. 2005

If $\sqrt{2}=1.4142$, the value of $\frac{7}{(3+\sqrt{2})}$ is

(a)1.5858

(b)3.4852

(c)3.5858

(d)4.4142

Answer

Answer (as printed): A

Explanation

$\frac{7}{(3+\sqrt{2})}=\frac{7}{(3+\sqrt{2})} \times \frac{(3-\sqrt{2})}{(3-\sqrt{2})}=\frac{7(3-\sqrt{2})}{(9-2)}$ $$=(3-\sqrt{2})=(3-1.4142)=1.5858 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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