How can you write the expression with rationalized denominator?
√3-√6/√3+√6

Question

How can you write the expression with rationalized denominator?
√3-√6/√3+√6

campbell_st · Answer

you need to multiply it by 1 written in an equivalent form

use the same values as the denominator with the opposite operator between the terms

$$\frac{\sqrt{3} - \sqrt{6}}{\sqrt{3} + \sqrt{6}} \times \frac{\sqrt{3}-\sqrt{6}}{\sqrt{3}-\sqrt{6}}$$

completing the multiplication will give a rational number in the denominator and the numerator will be the expansion of a perfect square. 

hope it helps

anonymous · Answer

Okay, thank you!!