\[\sqrt{720}\]
1
Rewrite 720720 as its prime factors.
2×2×2×2×3×3×5\sqrt{2\times 2\times 2\times 2\times 3\times 3\times 5}

2
Group the same prime factors into pairs.
(2×2)×(2×2)×(3×3)×5\sqrt{(2\times 2)\times (2\times 2)\times (3\times 3)\times 5}

3
Rewrite each pair in exponent form.
22×22×32×5\sqrt{{2}^{2}\times {2}^{2}\times {3}^{2}\times 5}

4
Use this rule: x2=x\sqrt{{x}^{2}}=x.
(2×2×3)5(2\times 2\times 3)\sqrt{5}

5
Simplify.
12512\sqrt{5}

Done

Decimal Form: 26.832816
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