Question

if √3 + √2 ÷ √3 - √2 = a-b √6 , find the values of a and b​

Answer 1

The answer will be 5+2√6 = a - b√6

a= 5

b=-2

Answer 2

The values are:

a = 5

b = -2

Step-by-step explanation:

Given that,

$\frac{\sqrt{3} + \sqrt{2} }{\sqrt{3} - \sqrt{2} }$ = $a - b \sqrt{6}$

by conjugating the given equation, we get

$\frac{\sqrt{3} + \sqrt{2} }{\sqrt{3} - \sqrt{2} }$  * $\frac{\sqrt{3} + \sqrt{2} }{\sqrt{3} + \sqrt{2}}$

= $\frac{(\sqrt{3} + \sqrt{2})^2 }{(\sqrt{3})^2 - (\sqrt{2})^2 }$

= $\frac{3 + 2 + 2\sqrt{3} \sqrt{2} }{3 - 2}$

= $\frac{5+2\sqrt{6}}{1}$

So,

$\frac{5+2\sqrt{6}}{1}$ = a - b√6

∵ a = 5

b = -2

Learn more: Find the values

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