90\sqrt{90}

1
Rewrite 9090 as its prime factors.
2×3×3×5\sqrt{2\times 3\times 3\times 5}

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

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

4
Use this rule: x2=x\sqrt{{x}^{2}}=x.
32×53\sqrt{2\times 5}

5
Simplify.
3103\sqrt{10}

Done

Decimal Form: 9.486833

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