Question

(a+√b)(a-√b)=a²-b? explain.​

Answer 1

Answer:

Step-by-step explanation:

(a+√b)  x (a-√b) is in the form of (a+b) x (a-b)

where a = a  and b = √b

the formula for (a+b) x (a-b) = a² - b²

so similarily,

(a+√b) x (a-√b) = a² - (√b)² = a²- [√b x √b]  = a² - b

as any value's root multiplied by the same value's root gives out the non-root value.

for eg :

(√a)² = (√a x √a) = a

(√3² = (√3 x √3) = 3

and the formula or identity is

(a+b) x (a-b) = a² - b²

remember this identity!!!!!

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Answer 2

Answer:a²-b

Step-by-step explanation:(a+√b)(a-√b)=(a²)-(√b²)=a²-b

Ex: (5+√7)(5-√7)

   =(5)²-(√7)²

   =25-7

   =18