Question

( 3 + √3 )( 3− √3) =

(a) 6√3
(b) 9 − 2√3
(c) 6 − 2√3
(d) 6​

Answer 1

Step-by-step explanation:

simply multiply.....

(3)2-(3)

9-3

6

thanx

Mark it yrr

Answer 2

Question:

$\sf(3 + \sqrt{3} \: )(3 - \sqrt{3} \: )$

Answer:

6

Step-by-step explanation:

$\sf{ \purple{IDENTITY \: \: USED : }}$

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

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

Here ,

a = 3

b = under root(3)

$\sf \: (3 + \sqrt{3} \: )(3 - \sqrt{3} \: ) = {3}^{2} - 3$

$\bf \implies \: 9 - 3$

$\boxed{ \bf{\implies{6 }}}$

What you need to know ?

• Operation on irrational numbers are carried out by some identities , which makes the calculations more accurate asnd fast as seen above.

Here are list of such identities , which might help :

$\sqrt{ab} = \sqrt{a} \sqrt{b}$

$\sqrt{ \dfrac{a}{b} } = \dfrac{ \sqrt{a} }{ \sqrt{b} }$