Question

Determine the rational no. x and y when 3√2+2√3 / 5√2-4√3=x-y√6

Answer 1

Step-by-step explanation:

Given -

• 3√2 + 2√3 ÷ 5√2 - 4√3 = x - y√6

To Find -

• Value of x and y

Rationalising the denominator :-

→ 3√2+2√3/5√2-4√3 × 5√2+4√3/5√2+4√3 = x - y√6

→ 30+12√6+10√6+24/50-48 = x - y√6

→ 54 + 22√6/2 = x - y√6

→ 54/2 + 22√6/2 = x - y√6

→ 27 + 11√6 = x - y√6

After comparing 27 + 11√6 with x - y√6 we get :

→ x = 27 and y = -11

Hence,

The value of x is 27 and y is -11

Answer 2

${\huge{\underbrace{\overbrace{\red{Answer:-}}}}}$

$\implies$ x = 27

$\implies$ y = -11

$\large\underline\mathrm{The \: value \: of \: x \: is \: 27 \: and \: y \: is \: -11 \: .}$

$\large\underline\mathrm{Given:-}$

• 3√2 + 2√3 / 5√2 - 4√3 =x - y√6

$\large\underline\mathrm{To \: find}$

• value of x and y.

$\large\underline\mathrm{Solution}$

$\implies$3√2 + 2√3 / 5√2 - 4√3 =x - y√6

$\implies$ 30 + 12√6 + 10√6 + 24/56 - 48 = x - y√6

$\implies$ 54 + 22√6/2 = x - y√6

$\implies$ 54/2 + 22√6/2 = x - y√6

$\implies$ x = 27

$\implies$ y = -11

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{The \: value \: of \: x \: is \: 27 \: and \: y \: is \: -11 \: .}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$