Find the value of p and q if -13-5-13-5-p-q-65-

We need to note down the conjugate of the denominator. Since we have √(13) √(5) as the denominator, its conjugate will be √(13)+√(5). Next we need to multiply ...

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Standard IX

Mathematics

Multiplication and Division of Surds

Find the valu...

Question

Find the value of p and q if $\frac{\sqrt{13} + \sqrt{5}}{\sqrt{13} - \sqrt{5}} = p - q \sqrt{65}$ .

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Solution

We need to note down the conjugate of the denominator.

Since we have $\sqrt{13} - \sqrt{5}$ as the denominator, its conjugate will be $\sqrt{13} + \sqrt{5}$ .

Next we need to multiply the numerator and denominator by the conjugate and simplify the expression formed and then find p and q.

$p = \frac{9}{4}$ and $q = - \frac{1}{4}$

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Find the value of p and q if √13+√5√13−√5=p−q√65.

We need to note down the conjugate of the denominator. Since we have √13−√5 as the denominator, its conjugate will be √13+√5. Next we need to multiply the numerator and denominator by the conjugate and simplify the expression formed and then find p and q. p=94 and q=−14

Find the value of p and q if $\frac{\sqrt{13} + \sqrt{5}}{\sqrt{13} - \sqrt{5}} = p - q \sqrt{65}$ .