Question

$$\sqrt{ 54 }$$

Answer

3*sqrt(6)

Solution


Rewrite \(54\) as its prime factors.
\[\sqrt{2\times 3\times 3\times 3}\]
Group the same prime factors into pairs.
\[\sqrt{(3\times 3)\times 2\times 3}\]
Rewrite each pair in exponent form.
\[\sqrt{{3}^{2}\times 2\times 3}\]
Use this rule: \(\sqrt{{x}^{2}}=x\).
\[3\sqrt{2\times 3}\]
Simplify.
\[3\sqrt{6}\]

Decimal Form: 7.348469