Question

rationalize the following number one by root 5 minus root 2​

Answer 1

Step-by-step explanation:

1. 1×(√5+√2) √5+√2

______. = ____________. = _______

√5-√2. (√5-√2)(√5+√2) 3

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Answer 2

Answer:

$\frac{\sqrt{5}+\sqrt{2}}{3}$

Step-by-step explanation:

The rationalizing factor of the number is root 5 + root 2.

Now we must the number by $\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}}$

$\frac{1}{\sqrt{5}-\sqrt{2}}$*$\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}}$

=$\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}^{2}-\sqrt{2} ^{2}}$                        [(a-b)(a+b)=a square - b square]

= $\frac{\sqrt{5}+\sqrt{2}}{5-2}$                          [$\sqrt{x} * \sqrt{x} =x$]

=$\frac{\sqrt{5}+\sqrt{2}}{3}$  _____Answer  

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