What is the square root of 80?

The square root of 80 can be simplified into a more manageable form. To find it, we first factor 80 into its prime factors:

80 can be expressed as:

• 80 = 16 × 5
• 16 = 4 × 4
• 4 = 2 × 2

So, we can break it down into:

80 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5

Now, when we take the square root, we apply the rule that the square root of a product is the product of the square roots:

√80 = √(16 × 5) = √16 × √5 = 4√5

Thus, the simplified square root of 80 is:

4√5

In decimal form, the approximate value of the square root of 80 is about 8.944.