427×3×1084\sqrt{27\times 3\times {10}^{8}}
1
Simplify  27×327\times 3  to  8181.
481×1084\sqrt{81\times {10}^{8}}

2
Use this rule: ab=ab\sqrt{ab}=\sqrt{a}\sqrt{b}.
4811084\sqrt{81}\sqrt{{10}^{8}}

3
Since 9×9=819\times 9=81, the square root of 8181 is 99.
4×91084\times 9\sqrt{{10}^{8}}

4
Simplify  108\sqrt{{10}^{8}}  to  104{10}^{4}.
4×9×1044\times 9\times {10}^{4}

5
Simplify  4×94\times 9  to  3636.
36×10436\times {10}^{4}

Done
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