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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
Combine and .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
Step 3.5.1
Multiply by .
Step 3.5.2
Add and .
Step 3.6
Move the negative in front of the fraction.
Step 3.7
Use the power rule to distribute the exponent.
Step 3.7.1
Apply the product rule to .
Step 3.7.2
Apply the product rule to .
Step 3.8
Raise to the power of .
Step 3.9
Multiply by .
Step 3.10
One to any power is one.
Step 3.11
Raise to the power of .
Step 3.12
To write as a fraction with a common denominator, multiply by .
Step 3.13
Combine and .
Step 3.14
Combine the numerators over the common denominator.
Step 3.15
Simplify the numerator.
Step 3.15.1
Multiply by .
Step 3.15.2
Subtract from .
Step 3.16
Move the negative in front of the fraction.
Step 3.17
Use the power rule to distribute the exponent.
Step 3.17.1
Apply the product rule to .
Step 3.17.2
Apply the product rule to .
Step 3.18
Raise to the power of .
Step 3.19
Multiply by .
Step 3.20
Raise to the power of .
Step 3.21
Raise to the power of .
Step 3.22
To write as a fraction with a common denominator, multiply by .
Step 3.23
To write as a fraction with a common denominator, multiply by .
Step 3.24
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 3.24.1
Multiply by .
Step 3.24.2
Multiply by .
Step 3.24.3
Multiply by .
Step 3.24.4
Multiply by .
Step 3.25
Combine the numerators over the common denominator.
Step 3.26
Simplify the numerator.
Step 3.26.1
Multiply by .
Step 3.26.2
Add and .
Step 3.27
Rewrite as .
Step 3.28
Simplify the denominator.
Step 3.28.1
Rewrite as .
Step 3.28.2
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