Question

Find the value of a and b .
And if don't know then don't answer . Please​

Answer 1

Answer:

a = 9 and b = 6

Step-by-step explanation:

Left Hand Side

5+2$\sqrt{3}$/ 7+ 4$\sqrt{3}$

We rationalise the denominator by multiplying both the numerator and denominator by a rationalising factor in this case we use 7 - 4 $\sqrt{3}$.

5+2 $\sqrt{3}$ x 7 - 4 $\sqrt{3}$

__________________

7+4$\sqrt{3}$ x 7 - 4 $\sqrt{3}$

  35 + 14 $\sqrt{3}$ - 20$\sqrt{3}$ -  24

= ___________________

                49-48

   35-24+14$\sqrt{3}$-20$\sqrt{3}$

=__________________

                 1

=9-6$\sqrt{3}$

Given LHS = RHS

∴9-6$\sqrt{3}$ = a - b$\sqrt{3}$

a = 9 and b = 6

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