What is the principal square root of 4900?

To find the principal square root of 4900, follow these steps:

Understand the question: The principal square root of a number is its non-negative square root. This is the positive value that, when multiplied by itself, equals the given number.

Express 4900 as a product of perfect squares:
4900 = 49 × 100

Find the square roots of the factors:

The square root of 49 is 7, because 7 × 7 = 49.
The square root of 100 is 10, because 10 × 10 = 100.
Multiply the square roots:
√4900 = √(49 × 100) = √49 × √100 = 7 × 10 = 70.

Conclusion:
The principal square root of 4900 is 70.