rationalize the denonminator in the expression

Question

t= √2d/√a

Answer 1

To rationalize the denominator in the expression t = √2d/√a, we need to eliminate the square root from the denominator.

To do this, we note that the product of a square root (√b) and its conjugate (√b) is equal to the number under the radical, b.

In this case, the number under the first radical is a and the number under the second radical is also a. So we can multiply the numerator and denominator by √a to rationalize the denominator:

t = (√2d/√a) * (√a/√a)
= (√2d * √a) / (√a * √a)
= √(2ad) / √(a^2)
= √(2ad) / a

Therefore, the rationalized form of the expression is t = √(2ad)/a.