1/2 root+3 root-1
To simplify the expression 1/2√+3√-1, we need to combine like terms.
First, let's identify the terms:
Term 1: 1/2√
Term 2: 3√
Term 3: -1
Since the first two terms have the square root (√) and the last term does not, we cannot directly combine them. However, we can simplify each term individually.
Simplifying Term 1: 1/2√
To simplify 1/2√, we can rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of √ is also √. Multiply the numerator:
(1/2) * (√) = √/2
So, the simplified form of Term 1 is √/2.
Term 2: 3√
This term is already simplified, so it remains unchanged.
Term 3: -1
The value of -1 does not have any square root, so it remains unchanged.
Now that we have simplified each term, let's combined them:
√/2 + 3√ - 1
This is the final simplified form of the expression 1/2√+3√-1.