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# Solve the equation with radicals $\sqrt{x-8}=2$

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##  Final answer to the problem

$x=12$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

Removing the variable's exponent raising both sides of the equation to the power of $2$

$\left(\sqrt{x-8}\right)^{\frac{1}{\frac{1}{2}}}=2^{\frac{1}{\frac{1}{2}}}$

Learn how to solve equations with square roots problems step by step online.

$\left(\sqrt{x-8}\right)^{\frac{1}{\frac{1}{2}}}=2^{\frac{1}{\frac{1}{2}}}$

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals (x-8)^1/2=2. Removing the variable's exponent raising both sides of the equation to the power of 2. Divide 1 by 0.5. Simplify \left(\sqrt{x-8}\right)^{2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 0.5 and n equals 2. Multiply 0.5 times 2.

##  Final answer to the problem

$x=12$

##  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

SnapXam A2

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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

###  Main Topic: Equations with Square Roots

Those equations that they degree (greatest exponent) equals 2.