Evaluate: (0.5)^3 6 3^5 - Vidyadip

Question

Evaluate: $\sqrt{(0.5)^3 \times 6 \times 3^5}$

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Answer

$\sqrt{(0.5)^3 \times 6 \times 3^5}$
$ =\sqrt{(0.5)^2 \times 0.5 \times 3 \times 2 \times 3^5}$
$ =\sqrt{(0.5)^2 \times 0.5 \times 2 \times 3 \times 3^5}$
$ =\sqrt{(0.5)^2 \times 1.0 \times 3^6} \ldots[0.5 \times 2=1.0]$
$ =\sqrt{(0.5)^2 \times 1 \times 3^6}$
$ =0.5 \times 3^3$
$ =0.5 \times 27$
$ =13.5$

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