Simplify the subtraction of radicals $\sqrt{200}-\sqrt{32}$

Step-by-step Solution

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Final answer to the problem

$5\sqrt{\left(2\right)^{3}}-4\sqrt{2}$
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Step-by-step Solution

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  • Prime Factor Decomposition
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  • Factor by completing the square
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1

Rewrite $200$ as a power

Learn how to solve simplify trigonometric expressions problems step by step online.

$\sqrt{2^{3}\cdot 5^{2}}-\sqrt{32}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the subtraction of radicals 200^(1/2)-32^(1/2). Rewrite 200 as a power. The power of a product is equal to the product of it's factors raised to the same power. Rewrite 32 as a power. Split 2^{5} as a product of powers of 2.

Final answer to the problem

$5\sqrt{\left(2\right)^{3}}-4\sqrt{2}$

Exact Numeric Answer

$8.485281$

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Function Plot

Plotting: $5\sqrt{\left(2\right)^{3}}-4\sqrt{2}$

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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:

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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