Question

how to solve question no. 5
please fast
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Answer 1

Answer:

result is 10 which is a Rational Number

Step-by-step explanation:

$4 \sqrt{3} + (4 + \sqrt{3} )(4 - 2 \sqrt{3} )$

$= 4 \sqrt{3} + (16 - 8 \sqrt{3} + 4 \sqrt{3} - 6)$

$= 4 \sqrt{3} + 10- 4 \sqrt{3} = 10$

Answer 2

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.