Question

Which of the following is equivalent to Root of 54?

Answer 1

Answer:

• $\boxed{\sf{3\sqrt{6}}}$

Step-by-step explanation:

You need to find the equivalent of 54 by solving and finding the root of it.

GIVEN:

2*3³

3³=27

2*27=54

Change to square root.

$\sf{\sqrt{2*3^3}}$

Use the exponent rule.

EXPONENT RULE:

$\Longrightarrow: \sf{\:A^{B+C}=A^B\cdot \:A^C}}$

$\Longrightarrow: \sf{\sqrt{2\cdot \:3^2\cdot \:3}}$

$\sf{\sqrt{2\cdot \:3^2\cdot \:3}=\sqrt{3^2}\sqrt{2\cdot \:3}}$

$\Longrightarrow: \sf{\sqrt{3^2}=3}$

$\sf{3\sqrt{2*\:3}}$

Then, you multiply the numbers from left to right.

2*3=6

SOLUTIONS:

$\Longrightarrow: \boxed{\sf{3\sqrt{6}}}$

• Therefore, the equivalent to square root of 54 is "3√6", which is the correct answer.

I hope this helps. Let me know if you have any questions.