How to solve question no. 5please fast

1.	How to solve question no. 5please fast
Answer» GIVEN:- $\rm{4\sqrt{3} + ( 4 + \sqrt{3})(4 - 2\sqrt{3})}$ TO FIND:- It is a Rational NUMBER or irrational Number. HOW TO SOLVE? First we will Simplify the sum which is in bracket. After Simplifying bracket, we can simple Operations to get the value. After that we will INSPECT whether it is rational or irrational. Now, $\implies\rm{4\sqrt{3} + ( 4 + \sqrt{3})(4 - 2\sqrt{3}}$ $\implies\rm{ 4\sqrt{3} + (16 - 8\sqrt{3} + 4\sqrt{3} - 6)}$ $\implies\rm{ 4\sqrt{3} + 10 - 4\sqrt{3}}$ $\implies\rm{\cancel{4\sqrt{3}} + 10 -\cancel{4\sqrt{3}}}$ . $\implies\rm{ 10 }$ Hence, The value is 10 and it is a Rational number.

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