Question

100 points!!! Simplify the bottom right so there are no radicals in the denominator.

Answer 1

Answer:

-

$\frac{ - \sqrt{2} }{10}$

step by step:

$\frac{ - 1}{5 \sqrt{2 } } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ - \sqrt{2} }{5 \times 2} = \frac{ - \sqrt{2} }{10}$

multiply by the square root of 2 to get rid of the square root of 2 on the bottom, then simplify. hope this helped :)

Answer 2

$\\ \sf{:}\longrightarrow \dfrac{-1}{5\sqrt{2}}$

• Multiply 5√2 on both numerator and denominator

$\\ \sf{:}\longrightarrow \dfrac{-1(5√2)}{(5√2)^2}$

$\\ \sf{:}\longrightarrow \dfrac{-5√2}{25(2)}$

$\\ \sf{:}\longrightarrow \dfrac{-5√2}{50}$

$\\ \sf{:}\longrightarrow \dfrac{-√2}{10}$