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: S.S.C. 2003
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
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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