Question

Which term is a perfect square of the root 3x^4

Answer 1

The perfect square of 3*4 is 9*16

Explanation:

A perfect square is a number that can be expressed as the product of two equal integers.

For example 64 is a perfect square because if we multiply 8 two times we will get 64.

Thus the given expression is 3 * 4.

To find perfect square we square the numbers:

3² = 3*3 = 9

4² = 4*4 = 16

Thus the perfect square of 3*4 is 9*16 ....

Answer 2

`9x^8`

Explanation:

We need to find perfect square of the root
`3x^(4)`

To find the perfect square, we need to square the root
`3x^(4)`

`(3x^(4))^2`

Now let's use exponent power rule and simplify.

`(a^(m))^n = a^(mn)`

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

Therefore,
`9x^8` is perfect square of the root
`3x^4.`