Question

Simplify: (√3+√7) (√3-√7).

Answer 1

Answer:

(√3+√7) (√3-√7)

Now using identity: (a+b) (a-b) = (a²-b²)

⇒ (√3²-√7²)

= (3-7)

= (-4) Ans.

hope it helps..

Answer 2

(√3 + √7) (√3 - √7) = - 4

Given :

The expression (√3 + √7) (√3 - √7)

To find :

Simplify the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(√3 + √7) (√3 - √7)

Step 2 of 2 :

Simplify the given expression

We are aware of the identity that

a² - b² = ( a + b ) ( a - b )

Thus we get

$\displaystyle \sf{ ( \sqrt{3} + \sqrt{7} )( \sqrt{3} - \sqrt{7}) }$

$\displaystyle \sf{ = {( \sqrt{3} )}^{2} - {( \sqrt{7} )}^{2} }$

$\displaystyle \sf{ =3 - 7 }$

$\displaystyle \sf{ = - 4 }$

∴ (√3 + √7) (√3 - √7) = - 4