Basic Math Examples

Solve for R t = square root of 1/(RC)
Step 1
Rewrite the equation as .
Step 2
To remove the radical on the left side of the equation, square both sides of the equation.
Step 3
Simplify each side of the equation.
Tap for more steps...
Step 3.1
Use to rewrite as .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Simplify .
Tap for more steps...
Step 3.2.1.1
Multiply the exponents in .
Tap for more steps...
Step 3.2.1.1.1
Apply the power rule and multiply exponents, .
Step 3.2.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.1.2.1
Cancel the common factor.
Step 3.2.1.1.2.2
Rewrite the expression.
Step 3.2.1.2
Simplify.
Step 4
Solve for .
Tap for more steps...
Step 4.1
Find the LCD of the terms in the equation.
Tap for more steps...
Step 4.1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 4.1.2
The LCM of one and any expression is the expression.
Step 4.2
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 4.2.1
Multiply each term in by .
Step 4.2.2
Simplify the left side.
Tap for more steps...
Step 4.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Rewrite the expression.
Step 4.2.3
Simplify the right side.
Tap for more steps...
Step 4.2.3.1
Remove parentheses.
Step 4.3
Solve the equation.
Tap for more steps...
Step 4.3.1
Rewrite the equation as .
Step 4.3.2
Divide each term in by and simplify.
Tap for more steps...
Step 4.3.2.1
Divide each term in by .
Step 4.3.2.2
Simplify the left side.
Tap for more steps...
Step 4.3.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.3.2.2.1.1
Cancel the common factor.
Step 4.3.2.2.1.2
Rewrite the expression.
Step 4.3.2.2.2
Cancel the common factor of .
Tap for more steps...
Step 4.3.2.2.2.1
Cancel the common factor.
Step 4.3.2.2.2.2
Divide by .