Question

Simplify. Rationalize the denominator.
-3/5 + √3

Answer 1

Answer: -3-5
`√(3)` / 5

Step-by-step explanation

To write
`√(3)` as a fraction with a common denominator, multiply by 5/5.

-3/5 +
`√(3)` * 5/5

Then combine fractions, so that the numeratiors over the common denominator.

-3 + 5
`√(3)` /5

Simplify with factoring out.

Rewrite -3 as -1 (3). Next factor -1 out of 5
`√(3)`. Then facotr -1 out of -1(3) - (-5
`√(3)`). After that move teh negative in front of the fraction.

Exact Form: - 3-5
`√(3)` / 5

Decimal Form: 1.13