Question

simplify the following 4√3 - 3 √12 + 2√75

Answer 1

Hey friend,
Here is the answer you were looking for:
$4 \sqrt{3} - 3 \sqrt{12} + 2 \sqrt{75} \\ \\ = 4 \sqrt{3} - 3 \sqrt{2 \times 2 \times 3} + 2 \sqrt{5 \times 5 \times 3} \\ \\ = 4 \sqrt{3} - 3 \times 2 \sqrt{3} + 2 \times 5 \sqrt{3} \\ \\ = 4 \sqrt{3} - 6 \sqrt{3} + 10 \sqrt{3} \\ \\ = 4 \sqrt{3} + 10 \sqrt{3} - 6 \sqrt{3} \\ \\ = 14 \sqrt{3} - 6 \sqrt{3} \\ \\ = 8 \sqrt{3}$

Hope this helps!!!

@Mahak24

Thanks...
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Answer 2

$4 \sqrt {3} - 3 \sqrt {12} + 2 \sqrt {75} = 8 \sqrt {3}$

Given:

$4 \sqrt {3} - 3 \sqrt {12} + 2 \sqrt {75}$

To find:

Simplify the given equation

Answer:

$4 \sqrt {3} - 3 \sqrt {12} + 2 \sqrt {75}$

$= 4 \sqrt {3} - 3 \sqrt {2 \times 2 \times 3} + 2 \sqrt {5 \times 5 \times 3}$

$= 4 \sqrt {3} -3 \times 2 \times \sqrt {3} + 2 \times 5\times \sqrt {3}$

$= 4 \sqrt {3} - 6 \sqrt {3} + 10 \sqrt {3}$

$= 14 \sqrt {3} - 6 \sqrt {3}$

$4 \sqrt {3} - 3 \sqrt {12} + 2 \sqrt {75} = 8 \sqrt {3}$