Question

CAN ANYONE HELP ME WITH THIS PLEASE?????

Simplify. -4 / 3√2

A. -2√3
B. -2√2 / 3
C. 2√2 / 3​

Answer 1

`(-2\sqrt2)/(3)` is the answer.

Explanation:

The given expression is :

`(-4)/(3\sqrt2)` .. (1)

We need to simplify the above expression.

Multiply both numerator and denominator by
`√(2)`.

`(-4)/(3\sqrt2)* (\sqrt2)/(\sqrt2)\\\\=(-4* \sqrt2)/(3* 2)\ \ [\because\ \sqrt2* \sqrt2=2]\\\\=(-2\sqrt2)/(3)`

So, the simplified form of the above expression is
`(-2\sqrt2)/(3)`. Hence, the correct option is (B).