Pythagorean Theorem by Simplifying the Radicals

Find the value of y. Express in simplest radical form.

• 60

A river runs straight through the center of a park. A man stands on one bank of the river, and his daughter stands across the river and 22 ft upstream. The man's son swims from the man to his daughter. If the river is 11 ft wide, how far does the son swim? Express in simplest radical form.

Simplify into simplest radical form.

Simplify into simplest radical form.

A square has a side length of 10 yds. What is the length of the diagonal of the square? Express in simplest radical form.

• 200

Solve for x. SIMPLIFY your radical answer completely.

• 4√22

• 22√4

• 22√2

• 2√22

Solve for x. SIMPLIFY your radical answer completely.

• √181

• 90

• 19

• √19

What is the length of the iPad diagonal?

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

What is the measure of a?

• 3

• 3√3

• 6

• 3√2