A Google Calculator Square Root

A Google Calculator Square Root

Google Calculator Square Root

Google has just made it way easier for you to check your math on their new search function “Google Calculator”.


To find a decimal approximation to, say √2, first make an initial guess, then square the guess, and depending how close you got, improve your guess. Since this method involves squaring the guess (multiplying the number times itself), it uses the actual definition of square root, and so can be very helpful in teaching the concept of square root.

There is also an algorithm for square roots that resembles the long division algorithm, and it was taught in schools in days before calculators. See the example below to learn it. While learning this algorithm may not be necessary in today's world with calculators, working out some examples can be used as an exercise in basic operations for middle school students, and studying the logic behind it can be a good thinking exercise for high school students. (Source: www.homeschoolmath.net)


Let's use an example. We want to find the square root of 400 by hand. To begin, we would divide the number into perfect square factors. Since 400 is a multiple of 100, we know that it's evenly divisible by 25 - a perfect square. Quick mental division lets us know that 25 goes into 400 16 times. 16, coincidentally, is also a perfect square. Thus, the perfect square factors of 400 are 25 and 16 because 25 × 16 = 400.

Separate your number's digits into pairs. This method uses a process similar to long division to find an exact square root digit-by-digit. Though it's not essential, you may find that it's easiest to perform this process if you visually organize your workspace and your number <iframe width="560" height="315" src="https://www.youtube.com/embed/ZbocrrjRiR0" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe> section and a larger lower section. Next, separate your number's digits into pairs, starting from the decimal point. For instance, following this rule, 79,520,789,182.47897 becomes "7 95 20 78 91 82. 47 89 70". Write your number at the top of the left space. (Source: www.wikihow.com)


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