Question

Simplify :
(i) (3√5 - 2√3 ) (3√5+ 2√3 )

(ii) √2$\sqrt[3]{2} . \sqrt[4]{2} . \sqrt[12]{32}$

please give the correct answer

Answer 1

Answer:

(i) 33 , (ii) 2^3/2

Step-by-step explanation:

(i) (3√5 - 2√3) (3√5+ 2√3)

= a²-b²

= (3√5)² - (2√3)²

= 45 - 12

= 33

(ii) √2. ³√2 . ⁴√2 . ¹²√32

= 2^1/2 × 2^1/3 × 2^1/4 × 2^5/12

= 2^(1/2+1/3+1/4+5/12)

= 2^18/12 [By Taking LCM 12]

= 2^3/2