Summarize the following:
Squaring a number, or multiplying it by itself, creates a perfect square. For example, 25 is a perfect square because 5 x 5, or 52, equals 25. Memorizing at least the first ten perfect squares can help you recognize and quickly simplify perfect square roots. Here are the first ten perfect squares:  12 = 1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102 = 100 If you recognize a perfect square under a square root symbol, you can immediately turn it into its square root and get rid of the radical sign (√). For example, if you see the number 25 under the square root sign, you know that the answer is 5 because 25 is a perfect square. Here's the same list as above, going from the square root to the answer:  √1 = 1 √4 = 2 √9 = 3 √16 = 4 √25 = 5 √36 = 6 √49 = 7 √64 = 8 √81 = 9 √100 = 10 Use the perfect squares to your advantage when following the factor method of simplifying square roots. If you notice a way to factor out a perfect square, it can save you time and effort. Here are some tips:  √50 = √(25 x 2) = 5√2. If the last two digits of a number end in 25, 50, or 75, you can always factor out 25. √1700 = √(100 x 17) = 10√17. If the last two digits end in 00, you can always factor out 100. √72 = √(9 x 8) = 3√8. Recognizing multiples of nine is often helpful. There's a trick to it: if all digits in a number add up to nine, then nine is always a factor. √12 = √(4 x 3) = 2√3. There's no special trick here, but it's usually easy to check whether a small number is divisible by 4. Keep this in mind when looking for factors. If the number's factors contain more than one perfect square, move them all outside the radical symbol. If you found multiple perfect squares during your simplification process, move all of their square roots to the outside of the √ symbol and multiply them together. For example, let's simplify √72:  √72 = √(9 x 8) √72 = √(9 x 4 x 2) √72 = √(9) x √(4) x √(2) √72 = 3 x 2 x √2 √72 = 6√2

summary: Memorize a few perfect squares. Find the square root of a perfect square. Factor numbers into perfect squares. Factor a number with more than one perfect square.


Summarize the following:
Search online for a printable ring sizer, which will have circles of various sizes across the page. To print the page, select “print” and open the settings in the print dialogue box. Make sure the print scaling option is set to “none.” If you’re having trouble getting the page to print, press “control” and “P” at the same time to bring up the print dialogue box. Once you’ve printed the paper, take a ruler and measure the test bars. To proceed with the process, the ruler must read the exact measurement specified on the page, since ring measurements are very precise.  If the test bar is not the right length, try checking your print settings and print the page again. For example, most printable sizers use a general scale of 2 inches (5.1 cm), which roughly converts to a size 6 for USA and U.K. sizing. Try on a few rings that you already have, and find one that fits well on the finger for which you're buying the ring. It should be snug, but not too tight, and you should be able to put it on and remove it easily. Try moving your arm around  with the ring on to make sure it isn’t too loose. If you don’t have a ring that fits well, try a different method for measuring your ring size. Shift the ring around until you find a circle the matches the inside of the ring exactly. This measurement refers to the diameter of the ring, and can translate to different sizes depending on which brand you’re purchasing the ring from. If your ring is in between 2 sizes, it’s best to opt for the larger size to avoid a ring that’s too tight to remove.

summary: Find a printable ring sizer and make sure your printer settings are correct. Measure the test bars to ensure accuracy. Choose a ring that you already own that fits well on your finger. Place the ring that you have over the circles to match the inside edge.


Summarize the following:
The easiest way to find hidden files is to use a file manager from the Play Store. There are tons of file manager apps available that can show you hidden files. This guide will focus on Amaze, which is free. The process will be very similar for most file managers. This will begin installing Amaze. You'll see the storage folders on your Android device.   This will enable it, allowing you to view your hidden files. Use Amaze to navigate to the folder containing the hidden files. Hidden files will be slightly-grayed out compared to unhidden files.
summary: Tap the Play Store app. Search for Amaze File Manager. Tap the Install button on the Amaze store page. Tap the Open button after Amaze installs. Tap the ☰ button in the upper-left corner. Tap Settings. Tap the Show Hidden Files and Folders slider. Find the hidden files on your device.