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Given \( \Large \sqrt{2} =1.414\).The valueof \( \Large \sqrt{8} +2\sqrt{32}-3\sqrt{128}+4\sqrt{50}\) is:

A) 8.484
B) 8.526
C) 8.426
D) 8.876

Correct Answer:

A) 8.484

Description for Correct answer:
\( \Large \sqrt{2} =1.414\)

=\( \Large \sqrt{8}+2\sqrt{32}-3\sqrt{128}+4\sqrt{50} \)

=\( \Large 2\sqrt{2}+2 \times 4\sqrt{2}-3 \times 8\sqrt{2}+4 \times 5\sqrt{2} \)

=\( \Large 2\sqrt{2}+8\sqrt{2}-24\sqrt{2}+20\sqrt{2} \)

=\( \Large 6\sqrt{2} \)

=\( \Large 6 \times 1.414 =8.484\)

Part of solved Indices and Surd questions and answers : >> Elementary Mathematics >> Indices and Surd

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