Question

Write true or false: (a + √b) (a - √b) = a² + b

Answer 1

$\huge\tt{Answer:-}$

This statement is $false$.

_________________...

$\sf\underline{Proof:-}$

We know,

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

Let us put the values:-

$\bf{L.H.S. \ :-}$

$\sf{ (a + \sqrt{b}) \cdot (a - \sqrt{b}) }$

$\sf{ = {(a) }^{2} - ({\sqrt{b})}^{2}}$

$\sf{ = {a}^{2} - b}$

$\bf{R.H.S. \ :-}$

$\sf{ = {a}^{2} + b}$

$\boxed{\tt{L.H.S. ≠ R. H. S. }}$