Rational expressions
Is it possible to simplify this:
[2 + Square Root(2)] all over 2
please help and thank you
leave it as
(2 + √2)/2
the only other thing you could do it
1 + √2/2 or 1 + (1/2)√2
thank you
where did you the one from?
(2 + √2)/2
= 2/2 + √2/2
= 1 +√2/2
Yes, it is possible to simplify the given rational expression: [2 + √2] / 2.
To simplify this expression, we need to rationalize the denominator, which means eliminating any radicals from the denominator. One way to do this is by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 2 is also 2, so we can multiply the numerator and denominator by 2:
([2 + √2] / 2) * (2/2)
Now, we can simplify this expression further:
(2 + √2) / 1
Therefore, the simplified form of the given rational expression is:
2 + √2