Question

Solve: ( √260 - √64)^3/2 ( √260 + √164)^3/2.
(A) 2343
(B) 2744
(C) 1834
(D) 2656
(E) None of these.
Please explain the whole question.
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Answer 1

Answer:

= 2744

Step-by-step explanation:

(√260- √64)^3/2 (√260+√64) ^3/2

[(√260-√64)(√260+√64)]^3/2

Formula= (a-b)(a+b)=a²-b²

[(√260) ² – √(√64)²]^3/2

(260-64)^3/2

(196)^3/2

(2×7)^ 2/1×3/2

14³

14×14×14

=2744

Answer 2

Answer:

(√260-√64)^3/2 (√260+√64) ^3/2

[(√260-64)(√260+√64)]^3/2

Formula= (a-b)(a+b)=a²-b²

[(√260)² - √(√64)²]^3/2

(260-64)^3/2

(196)^3/2

(2×7)^ 2/1×3/2

143

14×14×14

=2744