Pythagorean Theorem and Radical Fun

A repairman leans the top of an 8-ft ladder against the top of a stone wall. The base of the ladder is 6 ft from the wall. How tall is the wall? Express in simplest radical form.

• 10

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

Solve for x. SIMPLIFY your radical answer completely.

• 4√2

• 2√4

• 2√2

• 16√2

Tags

CCSS.7.EE.B.3

Solve for x. SIMPLIFY your radical answer completely.

• 119

• √119

• 13

• √13

Tags

CCSS.7.NS.A.2C

Solve for x. SIMPLIFY your radical answer completely.

• 2√6

• 6√2

• 4√6

• 6√4

Tags

CCSS.8.G.B.7

Solve for x. SIMPLIFY your radical answer completely.

• √3

• 3

• √41

• 41

Tags

CCSS.7.NS.A.1D

Solve for x. SIMPLIFY your radical answer completely.

• √181

• 90

• 19

• √19

Tags

CCSS.7.NS.A.1D

Find the most simplified radical AND approximate answers for x.

• 21√2 ≈ 29.7

• 2√21 ≈ 9.2

• √116 ≈ 10.8

Tags

CCSS.7.NS.A.1D

Find the most simplified radical AND approximate answers for x.

• 13√2 ≈ 18.4

• 2√13 ≈ 7.2

• 4√13 ≈ 14.4

Tags

CCSS.8.G.B.7