math.wiki
Worksheets › Algebra 2 › Chapter 5
Sign in
Algebra 2 · Chapter 5 · Lesson 5.5 · Printable PDF

Solving Radical Equations Worksheet with Answer Key

6 problems on solving radical equations: isolating the radical, square roots, cube roots and fourth roots, checking for extraneous answers, finding a student's mistake, and equations with two radicals. 1 page, with a worked answer key.

6 problems1 pagesanswer key
Printable Solving radical equations worksheet with answer key - Algebra 2 (Page 1 PDF preview)
Page 1 of 1

Download

Worksheet PDFAnswer key

Get this sheet

This sheetWorksheet and answer key, yours to keep.
$5
Buy
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
Subscribe
Full Course Set490+ Algebra 2 PDF files, no limit, yours to keep.
$400once
Buy

Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

The full Algebra 2 courseEvery lesson in teaching order, with over 490 printables.See the course ›

What's on the worksheet

  1. Isolate the radical, then solve; say why when there is no solution.
    7 - \sqrt{x + 4} = 25\sqrt{x} + 8 = 3-2\sqrt{6 - x} + 9 = 14\sqrt{3x + 1} = 3\sqrt{3x + 1} + 2
  2. Solve each equation over the real numbers with exact answers.
    3 - \sqrt[3]{2x + 1} = 6\sqrt[4]{5x - 4} + 7 = 4\sqrt[3]{x^2 + 4x} = -1\sqrt[5]{3x - 1} = 2
  3. Solve an equation with a radical and name any extraneous candidate.
  4. Solve and use the sign test to decide which candidate is extraneous.
  5. Describe Yuna's mistake in squaring and fix the work.
  6. Solve each equation, checking every candidate and naming any extraneous one.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Solving radical equations: the lesson ›

More Chapter 5 worksheets: Radicals, rational exponents and radical functions