Square Roots Math Example 3

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

Example 3

medium
Simplify 200\sqrt{200}.

Solution

  1. 1
    Factor: 200=100×2200 = 100 \times 2.
  2. 2
    Simplify: 100×2=100⋅2=102\sqrt{100 \times 2} = \sqrt{100} \cdot \sqrt{2} = 10\sqrt{2}.

Answer

10210\sqrt{2}
Look for the largest perfect-square factor to simplify radicals efficiently.

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 1 easy

Find [formula].

Example 2 medium

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

Example 4 easy

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

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