Problem

$-2 \sqrt{3}+3 \sqrt{27}$

Solution

Step 1 :Given the expression \(-2 \sqrt{3}+3 \sqrt{27}\)

Step 2 :We simplify the square roots first. \(\sqrt{3}\) is already in its simplest form, but \(\sqrt{27}\) can be simplified to \(3\sqrt{3}\)

Step 3 :So the expression becomes \(-2 \sqrt{3}+3 *(3\sqrt{3})\)

Step 4 :Which simplifies to \(-2 \sqrt{3}+9 \sqrt{3}\)

Step 5 :Finally, we combine like terms to get \(7 \sqrt{3}\)

Step 6 :Final Answer: \(\boxed{7 \sqrt{3}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/20795/

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