Question

(√3 - √5) (√3 + √5)​

Answer 1

Answer:

-2

Step-by-step explanation:

as we know the identity

(a+b)(a-b)=(a²-b²)

putting values a=√3and b=√5

(√3 - √5) (√3 + √5)=[(√3²)-(√5)²]

(√3 - √5) (√3 + √5)=(3-5)

(√3 - √5) (√3 + √5)=-2

Answer 2

GIVEN :

(√3 - √5) (√3 + √5)

TO DO :

To solve the given expression.

FORMULA USED :

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

SOLUTION :

It is given that, (√3 - √5) (√3 + √5)

we will solve this by using the formula =>

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

here, in (√3 - √5) (√3 + √5)

a = √3 and b = √5

$⟹(√3 - √5) (√3 + √5) ={( \sqrt{3}) }^{2} - {( \sqrt{5}) }^{2}$

$⟹(√3 - √5) (√3 + √5) =3 - 5$

$⟹(√3 - √5) (√3 + √5) = - 2$

ANSWER : -2

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✦ More Formulae :-

1. (a+b)² = a²+b²+2ab

2. (a-b)² = a²+b²-2ab