Find the values of -a- in each of the following - 3-3 - -2 - a -3 - b -2

We rationalize the denominator, 3 /√( 3 ) √( 2 ) nbsp; *√( 3 ) +√( 2 ) nbsp;/√( 3 ) +√( 2 ) nbsp; = 3(√( 3 ) +√( 2 ) ) / 3 2 = ...

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Algebra of Derivatives

Find the valu...

Question

Find the values of 'a' in each of the following :
$\frac{3}{\sqrt{3} - \sqrt{2}} = a \sqrt{3} - b \sqrt{2}$

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

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

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

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

Find the value of in $x$ each of the following:

(a) $x : 3 :: 15 : 5$

(b) $10 : x :: 2 : 3$

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