Howdy, iam Zaida Lang, G’day, mate.
Ah, the dreaded 61 square root simplified! It’s a tricky one, but don’t worry - I’m here to help. Let’s break it down and simplify it step-by-step. First off, we’ll need to use the prime factorization method to find the largest perfect square that can be divided out of 61. Then, we’ll use that number to calculate the square root of 61. Finally, we’ll simplify our answer by reducing any fractions or radicals that may appear in our final answer. So let’s get started - this won’t be so bad after all!
What Is 61 Square Root Simplified? [Solved]
Well, the square root of 61 is a whopping 7.810 - who knew?
Definition of Square Root: The square root of a number is the number that, when multiplied by itself, produces the original number.
Simplifying Square Roots: To simplify a square root, factor out any perfect squares from the radicand (the number inside the radical sign).
Perfect Squares: Perfect squares are numbers that can be expressed as a whole number multiplied by itself (e.g., 4 x 4 = 16).
Prime Factorization: To factor out perfect squares from the radicand, use prime factorization to break down the radicand into its prime factors and then group them into pairs of identical factors (e.g., 24 = 2 x 2 x 2 x 3).
Simplifying 61: To simplify 61, first use prime factorization to break it down into its prime factors (61 = 3 x 3 x 7). Then group these factors into pairs of identical factors (3 x 3 and 7) and take their square roots (√3x3=√9=3 and √7=7). Therefore, √61 simplified is 3√7
The simplified square root of 61 is 7.937. That’s pretty straightforward - no need to overcomplicate it!
