Question

Can somone tell me how this works? ( √2 - √3 )² =

A. 5 - 2√6
B. 5 - √6
C. 1 - 2√6
D. 1 - √2
E. 1

The answer is A. This is the explanation they give. Expand as for (a - b)2.
(√2 - √3)(√2 - √3)
= 2 - 2(√2 x √3) + 3
= 5 - 2 √6

I want to see how they came to the second and third step.

Answer 1

by multiplication

Answer 2

Multiplying what?

Answer 3

\[(\sqrt{2}-\sqrt{3})(\sqrt{2}+\sqrt{3})\]

Answer 4

you are multiplying each of the square roots in the first parenthesis by the ones in the second parenthesis. That makes sqrt 2 x sqrt 2+ sqrt 2 x -sqrt 3+ -sqrt 3 x sqrt 2+ -sqrt3 x -sqrt3

Answer 5

sqrt 2xsqrt2 =2

Answer 6

\[\sqrt{2}*\sqrt{2}-\sqrt{2}*\sqrt{3}-\sqrt{3}*\sqrt{2} -\sqrt{3}*\sqrt{3}\]

Answer 7

there is positive with the last term
2 - 2(√2 x √3) + 3

Answer 8

your last term is wrong its +sqrt3*sqrt3

Answer 9

\[(a-b)^2=a^2+b^2-2ab \]
so here put a=\[\sqrt{2}
b= \sqrt{3}\] .
u simplify urself and u'll get the answer.