Powerful Patterns: Square Roots

There are many numerical patterns to find in mathematics! The one on this Web page is about square roots.

Observe what happens when you multiply the square root of 2 by powers of 10 under the radical symbol:

See the pattern? On even-numbered powers of 10, the square root of 2 is multiplied by a power of 10; on odd-numbered ones, the square root of 5 is multiplied by 2 multiplied by a power of 10. (To the right of each equal sign, of course!)

Observe what happens when you multiply the square root of 3 by powers of 100 under the radical symbol:

See the pattern of this one? The square root of 3 is multiplied by a power of 10 to the right of each equal sign!

Speaking of patterns, maybe you already seen some other numerical math patterns that other mathematicians already discovered & published! (Besides me or you; any open-minded person can be a great mathematician, like me!)

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