Question

If √3=1.732,then find the value of √27-3√75+5√48+2√108

Answer 1

Heya user,
Here is the answer you were looking for:
$\sqrt{27} - 3 \sqrt{75} + 5 \sqrt{48} + 2 \sqrt{108}$

On splitting we get,

$\sqrt{3 \times 3 \times 3} - 3 \sqrt{5 \times 5 \times 3} + 4 \sqrt{2 \times 2 \times 2 \times 2 \times 3} + 2 \sqrt{2 \times 2 \times 3 \times 3 \times 3} \\ \\ = \sqrt{ {3}^{2} \times 3} - 3 \sqrt{ {5}^{2} \times 3 } + 4 \sqrt{ {2}^{2} \times {2}^{2} \times 3} + 2 \sqrt{ {2}^{2} \times {3}^{2} \times 3 } \\ \\ = 3 \sqrt{3} - 3 \times 5 \sqrt{3} + 4 \times 2 \times 2\sqrt{3} + 2 \times 2 \times 3 \sqrt{3} \\ \\ = 3 \sqrt{3} - 15 \sqrt{3} + 16 \sqrt{3} + 12 \sqrt{3} \\ \\ = 31 \sqrt{3} - 15 \sqrt{3} \\ \\ = 16 \sqrt{3} \\ \\ = 16 \times 1.732 \\ \\ = 27.712$


Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

Answer:

3×3×3

−3

5×5×3

+4

2×2×2×2×3

+2

2×2×3×3×3

=

3

2

×3

−3

5

2

×3

+4

2

2

×2

2

×3

+2

2

2

×3

2

×3

=3

3

−3×5

3

+4×2×2

3

+2×2×3

3

=3

3

−15

3

+16

3

+12

3

=31

3

−15

3

=16

3

=16×1.732

=27.712