Question

(2√3+√5) (2√3-√5) please answer​

Answer 1

$\pink{\bold{\underline{ ✪ UPSC-ASPIRANT✪ }}}$

$\red{\bold{\underline{\underline{❥Question᎓}}}}$

Q:-(2√3+√5) (2√3-√5)

$\huge\tt\underline\blue{⛶Answer⛶</p><p> }$

╔════════════════════════╗

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

Here this identity is used:-

$⟹ </p><p>(a + b)(a - b) = {a}^{2} - {b}^{2}$

let's suppose here ; a=2√3 & b =√5

$⟹</p><p>(2 \sqrt{3} + \sqrt{5} )(2 \sqrt{3} - \sqrt{5} )$

$⟹</p><p> {(2 \sqrt{3}) }^{2} - {( \sqrt{5}) }^{2}$

$⟹</p><p>2 \times 2 \times 3 - 5( {( \sqrt{3}) }^{2} = \sqrt{3} \times \sqrt{3} = 3))$

$⟹</p><p>12 - 5 = 7$

╚════════════════════════╝

нσρє ıт нєłρs yσυ

_____________________

тнαηkyσυ

Answer 2

by using the following identity:-

$➟ (a + b)(a - b) = {a}^{2} - {b}^{2}$

so here ; a=2√3 & b =√5

$➟ (2 \sqrt{3} + \sqrt{5} )(2 \sqrt{3} - \sqrt{5} )$

$➟ {(2 \sqrt{3}) }^{2} - {( \sqrt{5}) }^{2}$

$➟ 2 \times 2 \times 3 - 5( {( \sqrt{3}) }^{2} = \sqrt{3} \times \sqrt{3} = 3))$

$➟ 12 - 5 = 7$.

нορє iτ нєℓρѕ γου

❤τнαиκ γου❤