Question

Simplest radical form of the √(4x¹²).
a) 2x⁶
b) 2x³
c) 4x⁶
d) 4x³

Answer 1

The simplest radical form of √(4x¹²) is 2x¶, which is answer (a). This is found by taking the square root of the perfect squares 4 and x¹².

Step-by-step explanation:

The student is asking for the simplest radical form of the expression √(4x¹²). We need to simplify the square root by identifying perfect squares.

The number 4 is a perfect square and can be expressed as 2². Additionally, x¹² is also a perfect square since 12 is an even exponent and can be expressed as (x¶)². By taking the square root of both, we get 2x¶.

So, the simplest radical form of √(4x¹²) is:

2x¶, which corresponds to answer (a).