Simplify the subtraction of radicals $\sqrt{-108}-\sqrt{-3}$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$\left(2\sqrt{\left(3\right)^{3}}-\sqrt{3}\right)i$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Scegliere un'opzione
  • Write in simplest form
  • Decomposizione in fattori primi
  • Semplificare
  • Fattore
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $a^n$$=\left(-a\right)^ni$, where $a^n=\sqrt{3}$

$\sqrt{108}i-\sqrt{3}i$

Learn how to solve sottrazione di radicali problems step by step online.

$\sqrt{108}i-\sqrt{3}i$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve sottrazione di radicali problems step by step online. Simplify the subtraction of radicals (-108)^(1/2)-(-3)^(1/2). Apply the formula: a^n=\left(-a\right)^ni, where a^n=\sqrt{3}. Factor the polynomial \sqrt{108}i-\sqrt{3}i by it's greatest common factor (GCF): i. Apply the formula: x^a=pfgmin\left(x\right)^a, where a=\frac{1}{2} and x=108. Apply the formula: \left(ab\right)^n=a^nb^n, where a=2^{2}, b=3^{3} and n=\frac{1}{2}.

Final answer to the problem

$\left(2\sqrt{\left(3\right)^{3}}-\sqrt{3}\right)i$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $\left(2\sqrt{\left(3\right)^{3}}-\sqrt{3}\right)i$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account