Basic Math Examples

Solve for r ( square root of 2)/2=24/r
Step 1
Rewrite the equation as .
Step 2
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 3
Solve the equation for .
Tap for more steps...
Step 3.1
Rewrite the equation as .
Step 3.2
Multiply by .
Step 3.3
Divide each term in by and simplify.
Tap for more steps...
Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
Tap for more steps...
Step 3.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
Tap for more steps...
Step 3.3.3.1
Multiply by .
Step 3.3.3.2
Combine and simplify the denominator.
Tap for more steps...
Step 3.3.3.2.1
Multiply by .
Step 3.3.3.2.2
Raise to the power of .
Step 3.3.3.2.3
Raise to the power of .
Step 3.3.3.2.4
Use the power rule to combine exponents.
Step 3.3.3.2.5
Add and .
Step 3.3.3.2.6
Rewrite as .
Tap for more steps...
Step 3.3.3.2.6.1
Use to rewrite as .
Step 3.3.3.2.6.2
Apply the power rule and multiply exponents, .
Step 3.3.3.2.6.3
Combine and .
Step 3.3.3.2.6.4
Cancel the common factor of .
Tap for more steps...
Step 3.3.3.2.6.4.1
Cancel the common factor.
Step 3.3.3.2.6.4.2
Rewrite the expression.
Step 3.3.3.2.6.5
Evaluate the exponent.
Step 3.3.3.3
Cancel the common factor of and .
Tap for more steps...
Step 3.3.3.3.1
Factor out of .
Step 3.3.3.3.2
Cancel the common factors.
Tap for more steps...
Step 3.3.3.3.2.1
Factor out of .
Step 3.3.3.3.2.2
Cancel the common factor.
Step 3.3.3.3.2.3
Rewrite the expression.
Step 3.3.3.3.2.4
Divide by .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: