Question

Simplify the radical expression. Show all your steps.

Answer 1

\[\sqrt{363}-3\sqrt{27}\]

Answer 2

Exact Form:
(363−93√)−−−−−−−−−−√

Decimal Form:
18.63897912...

Answer 3

@bbypanda16 I need the steps you took.

Answer 4

Is it\[\sqrt{363}-\sqrt[3]{27}\]
or
\[\sqrt{363}-3*\sqrt{27}\]?

Answer 5

@Unique_Am_I

Answer 6

The second one

Answer 7

Okay, ill look at the seperatly:
\[\sqrt{27}=\sqrt{3^3}=3\sqrt{3}\]
\[\sqrt{363}=\sqrt{3*11^2}=11*\sqrt{3}\] This gives us:
\[11\sqrt{3}-3*3\sqrt{3}=11\sqrt{3}-9\sqrt{3}=2\sqrt{3}\]
This is the exact solution. If you'd like, then \[2\sqrt{3}\approx3.464\]

Answer 8

Thank you so much! I really appreciate it!

Answer 9

You're welcome :)