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Basic Math Examples
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Step 1
Use the distance formula to determine the distance between the two points.
Step 2
Substitute the actual values of the points into the distance formula.
Step 3
Step 3.1
Multiply .
Step 3.1.1
Multiply by .
Step 3.1.2
Multiply by .
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Simplify the expression.
Step 3.4.1
Combine the numerators over the common denominator.
Step 3.4.2
Add and .
Step 3.4.3
Apply the product rule to .
Step 3.4.4
Raise to the power of .
Step 3.4.5
Raise to the power of .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Subtract from .
Step 3.7
Cancel the common factor of and .
Step 3.7.1
Factor out of .
Step 3.7.2
Cancel the common factors.
Step 3.7.2.1
Factor out of .
Step 3.7.2.2
Cancel the common factor.
Step 3.7.2.3
Rewrite the expression.
Step 3.8
Move the negative in front of the fraction.
Step 3.9
Use the power rule to distribute the exponent.
Step 3.9.1
Apply the product rule to .
Step 3.9.2
Apply the product rule to .
Step 3.10
Raise to the power of .
Step 3.11
Multiply by .
Step 3.12
Raise to the power of .
Step 3.13
Raise to the power of .
Step 3.14
To write as a fraction with a common denominator, multiply by .
Step 3.15
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 3.15.1
Multiply by .
Step 3.15.2
Multiply by .
Step 3.16
Combine the numerators over the common denominator.
Step 3.17
Simplify the numerator.
Step 3.17.1
Multiply by .
Step 3.17.2
Add and .
Step 3.18
Rewrite as .
Step 3.19
Simplify the numerator.
Step 3.19.1
Rewrite as .
Step 3.19.1.1
Factor out of .
Step 3.19.1.2
Rewrite as .
Step 3.19.2
Pull terms out from under the radical.
Step 3.20
Simplify the denominator.
Step 3.20.1
Rewrite as .
Step 3.20.2
Pull terms out from under the radical, assuming positive real numbers.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 5