Question

How do I simplify this expression: √3 / √3 + √2? The answer is 3 - √6... how?

Answer 1

is sqrt(2) in the denominator?

Answer 2

no, there's no root 2 in the denominator

Answer 3

\(\sqrt 3/( \sqrt 3+ \sqrt 2)\)
now multiply numerator and denominator by \(\sqrt 3- \sqrt 2\)
we have
\( \sqrt 3/( \sqrt 3 + \sqrt 2) *( \sqrt 3 - \sqrt 2)/( \sqrt 3 - \sqrt 2)\)
we get \[ (3-2 \sqrt 6)/( 3-2)\]
or
\[3-2\sqrt 6\]

Answer 4

sorry it'd be \[3-\sqrt 6\]

Answer 5

why is it 3 - 2√6?

Answer 6

ignore the 2 int the last two steps

Answer 7

did you get??

Answer 8

but why is it 3 - √6? Did you cancel something?

Answer 9

when we multiplied \(\sqrt 3 -\sqrt 2\) in the numerator and denominator , denominator became 1 . and numerator became
\[3-\sqrt 6\]

Answer 10

can you please show me? I'm still confused about what you just said.. so sorry D: