Question

If √3=1.732,then find the value root27

Answer 1

Step-by-step explanation:

Heya user,

Here is the answer you were looking for:

\begin{gathered}\sqrt{27} - 3 \sqrt{75} + 5 \sqrt{48} + 2 \sqrt{108} \\\end{gathered}27−375+548+2108

On splitting we get,

\begin{gathered}\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\end{gathered}3×3×3−35×5×3+42×2×2×2×3+22×2×3×3×3=32×3−352×3+422×22×3+222×32×3=33−3×53+4×2×23+2×2×33=33−153+163+123=313−153=163=16×1.732=27.712