Question

What is the simplified form of the following expression? 5√8-√18-2√2

Answer 1

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

$= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}$

Now simplify the above

Terms are written as

$\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}$

$\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}$

Put in the above expression.

$= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}$

$= 10 \sqrt{2} -5 \sqrt{2}$

$=5 \sqrt{2}$

$Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .$