Question

Simplify each of the following expressions:

(i) (3+√3)(2+√2)
ii) (3+√3)(2+√2 )
(iii) (√5+√2)
(iv) (√5-√2)(√5+√2)
please explain tooo​

Answer 1

Step-by-step explanation:

1)(3+√3)(2+√2)=(3+9)(2+4)

12*6=72

Answer 2

Step-by-step explanation:

i) (3+√3)(2+√2)

⇒3(2+√2) + √3(2+√2)    

⇒3 × 2+ 3 ×√2+ √3 × 2+ √3+√2

⇒6 + 3√2 + 2√3 + $\sqrt{3*2}$

⇒ 6 + 3√2 + 2√3 + √6

ii) (3+√3)(2+√2 )

This is the same as the first one!

iii) (√5+√2)

2.2360679775 + 1.41421356237 = 3.65028153987

(iv) (√5-√2)(√5+√2)

we know that, (a+b) (a-b)= a²-b²

Putting a= √5, b= √2

⇒(√5)²-(√2)²

⇒5-2

⇒3

Hope it helps, please mark me as brainliest, thanks! :)