Question

if x=7-4√3 find the value of√x+1/√x​

Answer 1

Answer:

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

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

$x = ({\sqrt{3}})^{2} + {2}^{2} - 2(2)( \sqrt{3} )$

$x ={ ( \sqrt{3} - 2) }^{2}$

So,

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

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

$= 2 \sqrt{3}$

Answer 2

Answer:

I hope, it will help you.