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### Question

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $13/{√2}$ + $√8$?

**A**

-6.081.

**B**

+6.081.

**C**

-6.009.

**D**

+6.009.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√2)^2} - {5 × 13} + {5 × √2 × √{2 × 2^2}}}/{5 × √2}$, which is same as ${2 - 65 + 20}/{5 × √2}$, which is same as ${-43/{5 × √2}$. Rationalizing, we get ${-43/{5 × √2} × {√2/√2}$ which gives ${-43√2}/10$ which = -6.081.