Radicals & Exponents Worksheets Grade 9

Algebra

Work with radicals and rational exponents

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

9 problems
  1. Isabella is designing a triangular garden with sides that form a right triangle. The two shorter sides measure 7√2 meters and 12√2 meters. What is the exact length of the hypotenuse in simplest radical form?
  2. √16 × √81 = ?
  3. Aroha is designing a rectangular garden with an area of 98 square meters. The length of the garden is 7√2 meters. What is the width of the garden in simplest radical form?

…and 6 more problems

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Worksheet 2

9 problems
  1. Matiu is designing a triangular garden with sides of length 2√8 meters, 3√2 meters, and √50 meters. What is the perimeter of the garden in simplest radical form?
  2. Liam is building a square tabletop and needs to calculate the diagonal length. If each side of the square measures 5√20 inches, what is the length of the diagonal in simplest radical form?
  3. √(72) × √(18) = ?

…and 6 more problems

Open & Print Worksheet 2

Worksheet 3

8 problems
  1. √32 × √8 = ?
  2. √(96) + √(6) = ?
  3. Kaia is building a rectangular planter box for her garden. The length of the box is 4√12 feet and the width is 3√27 feet. She needs to calculate the area of the base to determine how much soil to buy. What is the area of the base in simplest radical form?

…and 5 more problems

Open & Print Worksheet 3

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