Question

plz tell the values of 'a' and 'b'
$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } = a + b \sqrt{7}$
​

Answer 1

Answer:

On Rationalizing we get,

\begin{gathered}\frac{3 + \sqrt{5} }{3 - \sqrt{5} } \times \frac{3 + \sqrt{5} }{3 + \sqrt{5} } \\ = \frac{ {(3 + \sqrt{5} )}^{2} }{9 - 5} \\ = \frac{9 + 5 + 6 \sqrt{5} }{4} \\ \frac{7 + 3 \sqrt{5} }{2} = a + b \sqrt{5}\end{gathered}

3−

5

3+

5

×

3+

5

3+

5

=

9−5

(3+

5

)

2

=

4

9+5+6

5

2

7+3

5

=a+b

5

On comparing both sides we get,

a = 7/2 and b = 3/2

Hope it helps☺!✌

Answer 2

Answer:

a=8 b=3

Step-by-step explanation:

please see the attachment

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