Question

BRAINLIEST FOR WHOEVER GETS THIS RIGHT!!!

PLEASE HELP MATHS QUESTION!!!

Answer 1

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating $1+\frac{1}{\sqrt{2} }$

so multiply $\frac{1}{1+\frac{1}{\sqrt{2} } }$  with the conjugate, $1-\frac{1}{\sqrt{2} }$

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/$\sqrt{2}$)(1-$\frac{1}{\sqrt{2} }$)=(1)^2-($\frac{1}{\sqrt{2} }$)^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)($1-\frac{1}{\sqrt{2} }$)

is: 1-$\frac{1}{\sqrt{2} }$

hence, $\frac{1-\frac{1}{\sqrt{2} } }{0.5}$

so$1-\frac{1}{\sqrt{2} }$

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!