How do you simplify #sqrt(72/3)#?
#"using the "color(blue)"law of radicals"#
The goal in simplifying a square root is to divide the terms into their common factors.
This can be done in the following way.
Firstly you divide the radicand to get the simplest term: 24 (
Now, you find the common factors of 24.
- 24 is made up of
#6 * 4#or #3 * 8#
6 factors into
3 is a factor of itself and 8 factors into
As you can see, either way you will get to the same result.
Adding this into our radical:
Rewriting this equation we get:
Applying the square root (or factoring out the exponents)we get:
dividing under a radical is allowed: