simplify the following
(√3+√5) /(√3+√5)
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Answer:
Step-by-step explanation:
GIVEN :
(√3 - √5) (√3 + √5)
TO DO :
To solve the given expression.
FORMULA USED :
(a - b)(a + b) = {a}^{2} - {b}^{2}(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}(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
)
2
−(
5
)
2
⟹(√3 - √5) (√3 + √5) =3 - 5⟹(√3−√5)(√3+√5)=3−5
⟹(√3 - √5) (√3 + √5) = - 2⟹(√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
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