Given √(2)=1.414. The value of √(8)+2 √(32)-3 √(128)+4 √(50) is: · ABC26GN1398

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2003 · Marks: · Difficulty:

Given $\sqrt{2}=1.414$. The value of $\sqrt{8}+2 \sqrt{32}-3 \sqrt{128}+4 \sqrt{50}$ is:

(a)8.426

(b)8.484

(c)8.526

(d)8.876

Answer

Answer (as printed): B

Explanation

Given exp. $=\sqrt{4 \times 2}+2 \sqrt{16 \times 2}-3 \sqrt{64 \times 2}+4 \sqrt{25 \times 2}$ $$=2 \sqrt{2}+8 \sqrt{2}-24 \sqrt{2}+20 \sqrt{2}=6 \sqrt{2}=6 \times 1.414=8.484 .$$

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

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