Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Simplify ( square root of t-8)/( square root of t+8)