Question

Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoot 6 EndRoot 2StartRoot 6 EndRoot 4StartRoot 6 EndRoot 4StartRoot 3 EndRoot

Answer 1

Answer: 4 square root 6

Answer 2

`4√(6)` is the simplified expression for
`√(96)`.

The given expression is
`√(96)`. To simplify this radical expression, we can start by finding the prime factorization of 96. The prime factorization is 2^5×3. Now, we group the prime factors into pairs. In this case, we have two pairs of 2's. We can take one 2 from each pair out of the square root, leaving one 2 inside along with the remaining factor of 3. Combining these, we get
`4\sqrt{6`.

This means that ​
`√(96)` can be expressed as
`4\sqrt{6` in its simplest radical form. The 4 outside the square root represents the product of the 2's that were taken out, and the
`√(6)` inside the square root represents the remaining factors. Therefore,
`4\sqrt{6` is the simplified expression for
`√(96)`.