,

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Multiply by .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Use the distance formula to determine the distance between the two points.

Substitute the actual values of the points into the distance formula.

Multiply by .

Add and .

Simplify the expression.

Apply the product rule to .

Raise to the power of .

Multiply by .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Multiply by .

Add and .

Simplify the expression.

Apply the product rule to .

Raise to the power of .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Simplify the expression.

Multiply by .

Add and .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Find the Distance Between Two Points (-4 square root of 2,- square root of 8) , (-5 square root of 2, square root of 18)