Question

pls help jddididkdkdkdkdkdkdkdodkdk​

Answer 1

$\huge\textt{Question :}$

$if \: \frac{5 + 2 \sqrt{3} }{7 + \sqrt{3} } + \frac{5}{7 - \sqrt{3} } = \: a \: + \: b \sqrt{3 } \\ find \: the \: vaues \: of \: a \: and \: b.$

$\huge\textt{Solution :}$

Refer the attachment above...

⏩First, add the two fractions on the right hand side....so it is rationalised.

⏩After calculating, the fraction is
$\frac{64 + 14\sqrt {3}}{46}.$..now separate it into
$\frac{64}{46}$ and $\frac{ 14\sqrt {3}}{46}$

⏩Now, reduce the two fractions into simplest terms, which are $\frac{32}{23}$ and $\frac{17\sqrt {3}}{23}$ .

⏩Finally, you get two values, among which one is equal to a and the other is equal to b. The fraction without a surd is equal to a and the one with a surd is equal to b because b.


I hope it helps you...

Answer 2

5 + 2 root 3 / 7 + root 3 multiplied 7 minus root 3 / 7 minus root 3 + 5 / 7 minus root 3 multiply 7 + root 3 / 7 + root 3 is equal to 5 + 2 root 3 bracket 7 minus root 3 bracket / 7 square minus root 3 square + 5 bracket 7 + root 3 bracket / 7 square minus root 3 square is equal to 5 + 2 root 3 bracket 7 minus root 3 square bracket divided by 4 3 9 - 3 + 5 bracket 7 + root 3 bracket 4 3 9 - 3 is equal to 5 + 2 root 3 bracket 7 minus root 3 / 46 plus 5 bracket 7 + root 3 / 46 is equal to 35 - 5 root 3 + 4 3 root 3 minus 2 root 3 / 46 + 35 + 5 root 3 / 46 is equal to 35 + 12 root 3 + 35 / 46 is equal to 70 + 12 root 3 / 46 is equal to 35 + 6 root 3 / 23:04 value of a is equal to 45 23 and value of root 3 is equal to 6