👉 Try now NerdPal! Our new math app on iOS and Android

Simplify the expression with radicals $\sqrt{3+\sqrt{8}}\cdot \left(3-\sqrt{8}\right)$

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

$\sqrt{3+\sqrt{\left(2\right)^{3}}}\cdot 3+\sqrt{24+\sqrt{\left(2\right)^{3}}\cdot 8}\cdot -1$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Prime Factor Decomposition
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Load more...
Can't find a method? Tell us so we can add it.
1

Rewrite $8$ as a power

$\sqrt{3+\sqrt{2^{3}}}\cdot \left(3-\sqrt{8}\right)$

Learn how to solve problems step by step online.

$\sqrt{3+\sqrt{2^{3}}}\cdot \left(3-\sqrt{8}\right)$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve problems step by step online. Simplify the expression with radicals (3+8^1/2)^1/2(3-8^1/2). Rewrite 8 as a power. Rewrite 8 as a power. Split 2^{3} as a product of powers of 2. Split 2^{3} as a product of powers of 2.

Final answer to the problem

$\sqrt{3+\sqrt{\left(2\right)^{3}}}\cdot 3+\sqrt{24+\sqrt{\left(2\right)^{3}}\cdot 8}\cdot -1$

Exact Numeric Answer

$0.414214$

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: $\sqrt{3+\sqrt{\left(2\right)^{3}}}\cdot 3+\sqrt{24+\sqrt{\left(2\right)^{3}}\cdot 8}\cdot -1$

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 Math & Physics Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account