Question

Which terms give is the perfect square of 3x4? A. 6x8 B. 6x16 C. 9x8 D. 9x16

Answer 1

The correct option is C.

Explanation:

The given term is 3x⁴.

We have to find the perfect square of 3x⁴.

`(3x^4)^2=3^2* (x^4)^2`
`[\because (ab)^x=a^xb^x]`

`(3x^4)^2=9* x^(4(2))`
`[\because (a^x)y=a^(xy)`

`(3x^4)^2=9* x^8`

`(3x^4)^2=9x^8`

The perfect square of given expression is
`9x^8`.

Therefore option C is correct.

Answer 2

A perfect square is the product when a number is multiplied to itself. Hence,the square of (3x4) is (3 x 4 x 3 x 4). We can rearrange this and have (3 x 3) x (4 x 4) which gives you 9 x 16. Thus, we have the perfect square of (3x4) re-written as (9 x 16). Thus, the answer is D: 9 x 16.