Question

$$\sqrt{ 1555555555598 }$$

Answer

11*sqrt(12855831038)

Solution


Rewrite \(1555555555598\) as its prime factors.
\[\sqrt{2\times 11\times 11\times 2833\times 2268943}\]
Group the same prime factors into pairs.
\[\sqrt{(11\times 11)\times 2\times 2833\times 2268943}\]
Rewrite each pair in exponent form.
\[\sqrt{{11}^{2}\times 2\times 2833\times 2268943}\]
Use this rule: \(\sqrt{{x}^{2}}=x\).
\[11\sqrt{2\times 2833\times 2268943}\]
Simplify.
\[11\sqrt{12855831038}\]

Decimal Form: 1247219.128942