Question

The square root of 72?

Answer 1

8.48 or
`\sqrt[6]{2}` (simplified)

Explanation:

When we first try solving the square root of 72, we get
`\sqrt[6]{2}`.

Next we simplify that square root, and get 8.48528 or just 8.48.

Separate your square root base into pairs.

Find the largest square that divides into the first number or pair.

Subtract the square from the first number or pair.

Drop down the next pair

Multiply the first digit of the square by two.

Set up the next factor equation.

Answer 2

6√2

Explanation:

The square root of 72 is an irrational number, so we can't make the square root of 72 into an accurate decimal form. However, we can simplify it!

• The factors that have the greatest square are 2 and 36.
• 
  `√(72) = √(36) * √(2)`
• 
  `√(36) *√(2) = 6√(2)`

Therefore, the answer is 6√2.