Trigonometry Examples

Rationalize the Denominator (-1/2)/( square root of 1 1/4)
Step 1
Convert to an improper fraction.
Tap for more steps...
Step 1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.2
Add and .
Tap for more steps...
Step 1.2.1
Write as a fraction with a common denominator.
Step 1.2.2
Combine the numerators over the common denominator.
Step 1.2.3
Add and .
Step 2
Multiply the numerator by the reciprocal of the denominator.
Step 3
Simplify the denominator.
Tap for more steps...
Step 3.1
Rewrite as .
Step 3.2
Simplify the denominator.
Tap for more steps...
Step 3.2.1
Rewrite as .
Step 3.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 4
Multiply the numerator by the reciprocal of the denominator.
Step 5
Multiply by .
Step 6
Cancel the common factor of .
Tap for more steps...
Step 6.1
Move the leading negative in into the numerator.
Step 6.2
Cancel the common factor.
Step 6.3
Rewrite the expression.
Step 7
Multiply by .
Step 8
Combine and simplify the denominator.
Tap for more steps...
Step 8.1
Multiply by .
Step 8.2
Raise to the power of .
Step 8.3
Raise to the power of .
Step 8.4
Use the power rule to combine exponents.
Step 8.5
Add and .
Step 8.6
Rewrite as .
Tap for more steps...
Step 8.6.1
Use to rewrite as .
Step 8.6.2
Apply the power rule and multiply exponents, .
Step 8.6.3
Combine and .
Step 8.6.4
Cancel the common factor of .
Tap for more steps...
Step 8.6.4.1
Cancel the common factor.
Step 8.6.4.2
Rewrite the expression.
Step 8.6.5
Evaluate the exponent.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: