,

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

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

Subtract from .

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.

Multiply by .

Subtract from .

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 (2 square root of 2, square root of 5) , (5 square root of 2,4 square root of 5)