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Algebra basics (ASL)

Course: Algebra basics (ASL) > Unit 1

Lesson 4: Square roots (ASL)
Math
Algebra basics (ASL)
Foundations (ASL)
Square roots (ASL)
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Square roots of perfect squares

Google Classroom
Learn how to find the square root of perfect squares like 25, 36, and 81.
Let's start by taking a look at an example evaluating the square root of start color #1fab54, 25, end color #1fab54:
square root of, start color #1fab54, 25, end color #1fab54, end square root, equals, question mark
Step 1: Ask, "What number squared equals start color #1fab54, 25, end color #1fab54?"
Step 2: Notice that start color #11accd, 5, end color #11accd squared equals start color #1fab54, 25, end color #1fab54.
start color #11accd, 5, end color #11accd, squared, equals, start color #11accd, 5, end color #11accd, times, start color #11accd, 5, end color #11accd, equals, start color #1fab54, 25, end color #1fab54
The answer
square root of, start color #1fab54, 25, end color #1fab54, end square root, equals, start color #11accd, 5, end color #11accd
Here's a question to make sure you understood:
How can we be sure that start color #11accd, 5, end color #11accd is the right answer?
Choose 1 answer:

Connection to a square

Finding the square root of start color #1fab54, 25, end color #1fab54 is the same as finding the side length of a square with an area of start color #1fab54, 25, end color #1fab54.
A square with an area of start color #1fab54, 25, end color #1fab54 has a side length of start color #11accd, 5, end color #11accd.

Practice Set 1:

Problem 1A
  • Current
4, squared, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Reflection question

Which claim shows how square roots work?
Choose 1 answer:

Practice Set 2:

Problem 2A
  • Current
square root of, 1, end square root, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Practice Set 3:

Problem 3A
  • Current
square root of, 121, end square root, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text