Question

simplify. i) (4 root3- 2root2)(3 root2+4root3)

Answer 1

here you go buddy this is the answer. sorry for the handwriting

Answer 2

The answer is $\bf 2-\frac{4\sqrt6}{5}$.

Given:

$\frac{4\sqrt 3-2\sqrt2}{3\sqrt2 + 4\sqrt3}$

To Find:

Simplify $\frac{4\sqrt 3-2\sqrt2}{3\sqrt2 + 4\sqrt3}$

Solution:

We can simplify this expression by rationalising it. To rationalize it we will multiply and divide $3\sqrt2-4\sqrt3$

$\frac{4\sqrt 3-2\sqrt2}{3\sqrt2 + 4\sqrt3}*\frac{3\sqrt2-4\sqrt3}{3\sqrt2-4\sqrt3}\\\\\frac{12\sqrt6-48-12+12\sqrt6}{18-48}\\ \\\frac{24\sqrt6-60}{-30} \\\\2-\frac{4\sqrt6}{5}$

The simplification of the expression is $\bf 2-\frac{4\sqrt6}{5}$.

#SPJ2