Question

combine these radicals.\\(sqrt{27} - sqrt{3}\\)\\(sqrt{24}\\)\\(-2sqrt{3}\\)\\(2sqrt{3}\\)\\(-3sqrt{2}\\)

Explanation:

Step1: Simplify $\sqrt{27}$

Factor 27 into $9 \times 3$, so $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$

Step2: Subtract like radicals

Substitute simplified term into original expression: $3\sqrt{3} - \sqrt{3}$
Combine coefficients: $(3-1)\sqrt{3} = 2\sqrt{3}$

Answer:

$2\sqrt{3}$