SIMPLIFY(√2+√3) (2√12-4√8)
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Answer:
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\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
Hope this helps!!!
Answer:
=4
3
−3
2×2×3
+2
5×5×3
= 4 \sqrt {3} -3 \times 2 \times \sqrt {3} + 2 \times 5\times \sqrt {3}=4
3
−3×2×
3
+2×5×
3
= 4 \sqrt {3} - 6 \sqrt {3} + 10 \sqrt {3}=4
3
−6
3
+10
3
= 14 \sqrt {3} - 6 \sqrt {3}=14
3
−6
3
4 \sqrt {3} - 3 \sqrt {12} + 2 \sqrt {75} = 8 \sqrt {3}4
3
−3
12
+2
75
=8
3