Trigonometry Examples

Evaluate (3 square root of 72)/(2 square root of 20)
Step 1
Combine and into a single radical.
Step 2
Cancel the common factor of and .
Tap for more steps...
Step 2.1
Factor out of .
Step 2.2
Cancel the common factors.
Tap for more steps...
Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 3
Simplify the numerator.
Tap for more steps...
Step 3.1
Rewrite as .
Step 3.2
Simplify the numerator.
Tap for more steps...
Step 3.2.1
Rewrite as .
Tap for more steps...
Step 3.2.1.1
Factor out of .
Step 3.2.1.2
Rewrite as .
Step 3.2.2
Pull terms out from under the radical.
Step 3.3
Multiply by .
Step 3.4
Combine and simplify the denominator.
Tap for more steps...
Step 3.4.1
Multiply by .
Step 3.4.2
Raise to the power of .
Step 3.4.3
Raise to the power of .
Step 3.4.4
Use the power rule to combine exponents.
Step 3.4.5
Add and .
Step 3.4.6
Rewrite as .
Tap for more steps...
Step 3.4.6.1
Use to rewrite as .
Step 3.4.6.2
Apply the power rule and multiply exponents, .
Step 3.4.6.3
Combine and .
Step 3.4.6.4
Cancel the common factor of .
Tap for more steps...
Step 3.4.6.4.1
Cancel the common factor.
Step 3.4.6.4.2
Rewrite the expression.
Step 3.4.6.5
Evaluate the exponent.
Step 3.5
Simplify the numerator.
Tap for more steps...
Step 3.5.1
Combine using the product rule for radicals.
Step 3.5.2
Multiply by .
Step 4
Combine and .
Step 5
Multiply by .
Step 6
Multiply the numerator by the reciprocal of the denominator.
Step 7
Multiply .
Tap for more steps...
Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: