how do you simplify square root of 27 minus square root of 49 all divided by square root of 3. I have gotten two different answers when I tried to check it. It kind of looks like (27-49)
(3)
except all the numbers have their own square root symbol. I don't know if it will be lined up when I post the question
(27-sqrt49 )/(sqrt 3)
isnt the sqrt49 equal to 7? subtract that from 27. I would multiply numberator and denominator by sqrt3, then simpify.
To simplify the expression (√27 - √49) / √3, we can follow these steps:
1. Evaluate the square roots:
√27 = √(9 * 3) = 3√3
√49 = 7
2. Substitute the values back into the expression:
(3√3 - 7) / √3
3. Rationalize the denominator:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which is also √3. This will eliminate the radical in the denominator.
((3√3 - 7) / √3) * (√3 / √3)
= (3√9 - 7√3) / 3
= (3 * 3 - 7√3) / 3
= (9 - 7√3) / 3
Therefore, the simplified expression is (9 - 7√3) / 3.