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Given $$\sqrt 2 = 1.414.$$ Then the value of $$\sqrt 8 $$ $$ + $$ $$2\sqrt {32} $$ $$ - $$ $$3\sqrt {128} $$ $$ + $$ $$4\sqrt {50} $$ is = ?
Answer & Solution
Correct Answer:
Option
B
Given expression,
$$\sqrt {4 \times 2} + 2\sqrt {16 \times 2} - 3\sqrt {64 \times 2} $$ $$ + $$ $$4\sqrt {25 \times 2} $$
$$\eqalign{ & = 2\sqrt 2 + 8\sqrt 2 - 24\sqrt 2 + 20\sqrt 2 \cr & = 6\sqrt 2 \cr & = 6 \times 1.414 \cr & = 8.484 \cr} $$
$$\sqrt {4 \times 2} + 2\sqrt {16 \times 2} - 3\sqrt {64 \times 2} $$ $$ + $$ $$4\sqrt {25 \times 2} $$
$$\eqalign{ & = 2\sqrt 2 + 8\sqrt 2 - 24\sqrt 2 + 20\sqrt 2 \cr & = 6\sqrt 2 \cr & = 6 \times 1.414 \cr & = 8.484 \cr} $$
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