Question

simplify (2√3+√5) (2√3-√5)​

Answer 1

Step-by-step explanation:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

here x = 2√3 and y =√5

(2√3+√5) (2√3-√5)=

(2√3)^2 - (√5)^2=.

12-5 = 7

Answer 2

Identity: (a + b)(a - b) = a² - b²

➞$\sf ( 2√3 + √5 )(2√3 - √5)$

➞$\sf (2√3)² - (√5)²$

➞$\sf( 2² × √3² ) - ( 5)$

➞$\sf( 4 × 3 ) - (5)$

➞$\sf 12 - 5$

➞$\sf 7$

$\sf \: 7\: is\: the \: simplified\: form$