Square Roots Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Find 144\sqrt{144}.

Solution

  1. 1
    Recall that a square root asks for the positive number whose square equals the original number.
  2. 2
    Ask: what number multiplied by itself gives 144?
  3. 3
    Test: 12×12=14412 \times 12 = 144. So 144=12\sqrt{144} = 12.

Answer

1212
The square root of a number nn is the value that, when multiplied by itself, produces nn. Memorizing perfect squares (1, 4, 9, 16, 25, ..., 144) makes these computations fast.

About Square Roots

The non-negative number bb such that b2=ab^2 = a, written a=b\sqrt{a} = b — the inverse of squaring.

Learn more about Square Roots →

More Square Roots Examples

Example 2 medium

A square has an area of [formula] cm². What is the side length of the square?

Example 3 medium

Simplify [formula].

Example 4 easy

A square garden has an area of 144 square feet. What is the side length?

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