Examveda
Examveda

Given $$\sqrt 2 = 1.414.$$   Then 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: Option B

Solution(By Examveda Team)

Given expression,
$$\sqrt {4 \times 2} + 2\sqrt {16 \times 2} - 3\sqrt {64 \times 2} $$       $$ + $$ $$4\sqrt {25 \times 2} $$
$$\eqalign{ & = 2\sqrt 2 + 8\sqrt 2 - 24\sqrt 2 + 20\sqrt 2 \cr & = 6\sqrt 2 \cr & = 6 \times 1.414 \cr & = 8.484 \cr} $$

This Question Belongs to Arithmetic Ability >> Square Root And Cube Root

Join The Discussion

Related Questions on Square Root and Cube Root