Question

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

Answer 1

`\\ \sf{:}\longrightarrow (-1)/(5√(2))`

• Multiply 5√2 on both numerator and denominator

`\\ \sf{:}\longrightarrow (-1(5√2))/((5√2)^2)`

`\\ \sf{:}\longrightarrow (-5√2)/(25(2))`

`\\ \sf{:}\longrightarrow (-5√2)/(50)`

`\\ \sf{:}\longrightarrow (-√2)/(10)`

Answer 2

-

`( - √(2) )/(10)`

step by step:

`( - 1)/(5 √(2 ) ) * ( √(2) )/( √(2) ) = ( - √(2) )/(5 * 2) = ( - √(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 :)