Question

(√(7+4√3)+1/(√(7+4√3)

solve step by step​

Answer 1

On adding the fractions

we get,

7+4√3+1/√(7+4√3)

8+4√3/√(7+4√3)

Answer 2

Answer :-

4

Step-by-step explanation:

• Firstly , write the given question

$\sqrt{7 + 4 \sqrt{3} } + \frac{1}{ \sqrt{7 + 4 \sqrt{3} } }$

• Now write √7+4√3 in the form of a+b whole square formula

$\sqrt{ ({2 + \sqrt{3} })^{2} } + \frac{1}{ \sqrt{ {(2 + \sqrt{3)} }^{2} } }$

• Simplify the roots by cancelling squares and roots

$2 + \sqrt{3} + \frac{1}{2 + \sqrt{3} }$

$2 + \sqrt{3} + 2 - \sqrt{3}$ = 4

• Eliminate the opposites and calculate the sum

• Finally , the answer is 4