Question

Rationalize : 2 √5-√3​

Answer 1

To rationalize the expression 2√5-√3, multiply both the numerator and denominator by the conjugate of the denominator. by doing this we get (2√15 - 3) / 3.

Step-by-step explanation:

To rationalize the expression 2√5-√3, we need to eliminate the radical in the denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

In this case, the conjugate of √3 is √3, so we multiply both the numerator and denominator by √3:

2√5-√3 * √3/√3 = (2√5 * √3 - √3 * √3) / 3 = (2√15 - √9) / 3 = (2√15 - 3) / 3.