Question

Please write down steps too thanks

Answer 1

Answer:

4

Step-by-step explanation:

$a = 7 - 4 \sqrt{3} \\ a = 4 + 3 + 2 \times 2 \times \sqrt{3} \\ a = (2 - \sqrt{3} )^{2} \\ \sqrt{a} = 2 - \sqrt{3}$

Now,

$1 \div ( \sqrt{a} ) = 1 \div (2 - \sqrt{3} ) \\ = (2 + \sqrt{3} ) \div (2 - \sqrt{3} )(2 + \sqrt{3} ) \\ = (2 + \sqrt{3} ) \div (4 - 3) \\ = 2 + \sqrt{3}$

now adding both

$\sqrt{a} + (1 \div \sqrt{a}) = 4$

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