Express in simplest radical form
square root 6 - 8 square root 150
To express in simplest radical form, we can simplify the radical individual terms first and then combine them.
The square root of 6 cannot be simplified any further.
For the square root of 150, we can break it down into its prime factors:
150 = 2 * 3 * 5 * 5
We can take out pairs of identical prime factors from under the radical sign:
√150 = √(2 * 3 * 5 * 5)
= √(2 * 5 * 5 * 3)
= 5√6
So, the expression becomes:
√6 - 8√150 = √6 - 8(5√6)
Simplifying further, we have:
√6 - 40√6 = -39√6
The expression in simplest radical form is -39√6.