Question

simplify 4√2 - 3√12 + 2√75​

Answer 1

Step-by-step explanation:

Hey friend,

Here is the answer you were looking for:

\begin{gathered}4 \sqrt{3} - 3 \sqrt{12} + 2 \sqrt{75} \\ \\ = 4 \sqrt{3} - 3 \sqrt{2 \times 2 \times 3} + 2 \sqrt{5 \times 5 \times 3} \\ \\ = 4 \sqrt{3} - 3 \times 2 \sqrt{3} + 2 \times 5 \sqrt{3} \\ \\ = 4 \sqrt{3} - 6 \sqrt{3} + 10 \sqrt{3} \\ \\ = 4 \sqrt{3} + 10 \sqrt{3} - 6 \sqrt{3} \\ \\ = 14 \sqrt{3} - 6 \sqrt{3} \\ \\ = 8 \sqrt{3} \end{gathered}

4

3

−3

12

+2

75

=4

3

−3

2×2×3

+2

5×5×3

=4

3

−3×2

3

+2×5

3

=4

3

−6

3

+10

3

=4

3

+10

3

−6

3

=14

3

−6

3

=8

3

Answer 2

Answer:

4√3 +4√2

Step-by-step explanation:

4√2 -3√2*2*3+2√5*5*3

4√2-6√3+10√3

4√2+4√3