Subtract. Simplify by collecting like radical terms if possible.
3sqrt18-3sqrt2 =6sqrt2
I did help.
correct
when reducing radicals, look for factors of the inside number which are perfect squares.
e.g. 18 = 9*2
so √18 = √9*√2 = 3√2
splitting 18 into 6*3 would be of no use.
Another thing to look for :
radicals of small numbers, as in your case √2
Often you will be able to reduce your larger radicals to exactly that smaller one.
thanks
To subtract and simplify radicals, you need to first determine if the radicals have like terms. In this case, the terms 3√18 and 3√2 have a like term of √2.
To simplify, you will subtract the coefficients and keep the like radical term. Here's how you can do it step by step:
1. Start with the expression: 3√18 - 3√2.
2. First, simplify the radicals: √18 = √(3 * 3 * 2) = √(3^2 * 2) = 3√2.
3. Now, the expression becomes: 3√2 - 3√2.
4. Since the radicals have the same term, √2, but with different coefficients, you can perform the subtraction: 3√2 - 3√2 = 0.
5. Therefore, the simplified expression is 0 (zero).
So, the correct simplification of the expression 3√18 - 3√2 is 0.