Simplify the expression (2sqrt{8} + 3sqrt{27}).

Question

Accepted Answer

Step:1 ：First, we simplify each term under the radical separately. We can express 8 as (2^3) and 27 as (3^3), so we have (2sqrt{2^3} + 3sqrt{3^3}).Step:2 ：The square root of a cube is the original number times the square root of the number, so we can simplify to (2*2sqrt{2} + 3*3sqrt{3}).Step:3 ：Multiplying the coefficients gives us (4sqrt{2} + 9sqrt{3}).

Answer

Step: 1 ：First, we simplify each term under the radical separately. We can express 8 as (2^3) and 27 as (3^3), so we have (2sqrt{2^3} + 3sqrt{3^3}).Step: 2 ：The square root of a cube is the original number times the square root of the number, so we can simplify to (2*2sqrt{2} + 3*3sqrt{3}).Step: 3 ：Multiplying the coefficients gives us (4sqrt{2} + 9sqrt{3}).

Simplify the expression \(2\sqrt{8} + 3\sqrt{27}\).

Answer

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