Pre-Algebra Examples

Evaluate square root of 7(6 square root of 3-6 square root of 7)
Step 1
Apply the distributive property.
Step 2
Multiply .
Tap for more steps...
Step 2.1
Combine using the product rule for radicals.
Step 2.2
Multiply by .
Step 3
Multiply .
Tap for more steps...
Step 3.1
Raise to the power of .
Step 3.2
Raise to the power of .
Step 3.3
Use the power rule to combine exponents.
Step 3.4
Add and .
Step 4
Simplify each term.
Tap for more steps...
Step 4.1
Rewrite as .
Tap for more steps...
Step 4.1.1
Use to rewrite as .
Step 4.1.2
Apply the power rule and multiply exponents, .
Step 4.1.3
Combine and .
Step 4.1.4
Cancel the common factor of .
Tap for more steps...
Step 4.1.4.1
Cancel the common factor.
Step 4.1.4.2
Rewrite the expression.
Step 4.1.5
Evaluate the exponent.
Step 4.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: