Question

Write as a radical expression and evaluate if possible.

1) 8–√3 ; not possible
2) 8–√3;-2
3) 8–√3;3
4) 8–√3;2

Answer 1

To simplify the expression 8 - √3 as a radical expression, you can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is √3. This results in the expression 5/3.

Step-by-step explanation:

To write the expression 8 - √3 as a radical expression, we can simplify it by rationalizing the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of √3 is √3, so we have:

8 - √3 = 8 - (√3 * √3) / (√3 * √3) = 8 - (√3 * √3) / 3 = 8 - (√9) / 3 = 8 - 3 / 3 = (8 - 3) / 3 = 5 / 3.

Therefore, the simplified radical expression and evaluation of 8 - √3 is 5/3.