You may fall, and a soft surface will help you avoid injury. The best place to do a back limber is on a gym mat. However, if you don’t have a gym mat, you might try a carpet, rug, or grass. Don’t try to do your back limber on concrete or hard tile. This increases your risk of injury. Since a back limber is an advanced move, it’s best to work with a spotter. They can help you maintain your balance and avoid falling. If you do fall, your spotter can reduce your risk of injury. Get a spotter who has gymnastics experience, like an instructor or coach. your entire body, especially your back. You need to stretch your muscles before you do a back limber to help you avoid injury. It’s best to do several different stretches to warm up your body. Here are some options:  Do a standing handspring stretch to warm up your entire body. Stand up straight with your legs hip-width apart and your arms at your sides. Exhale and hinge forward at your waist, lowering yourself down toward the floor. Then, wrap your arms around your legs to hold the stretch for about 1 minute. Release and return to a standing position. Warm up your hip flexors, quads, and back with a lunge with spinal twist. Stand up straight with your legs hip-width apart and your arms at your sides. Step forward into a lunge with your right foot, then reach your right hand down toward the floor. Twist your upper body, lifting your left arm up toward the ceiling. Hold for about 30 seconds to 1 minute, then release and repeat on the other side. Do a triceps stretch to warm up your arms, neck, shoulders, and back. Raise your arms up over your head, then bend your right arm at your elbow. Lower your right hand to touch the center of your back. Then, use your left hand to gently pull your right elbow toward your head. Hold for 30 seconds, then release and repeat on your left side.
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One-sentence summary -- Choose a soft, level surface. Ask a spotter to help you. Stretch

Q: If the denominator consists of a single term under a radical, such as [stuff]/sqrt(5), then multiply numerator and denominator by that radical to get [stuff]*sqrt(5)/sqrt(5)*sqrt(5) = [stuff]*sqrt(5)/5. For cube or higher roots, multiply by the appropriate power of the radical to make the denominator rational. If the denominator was cbrt(5), then multiply numerator and denominator by cbrt(5)^2.  If the denominator consists of a sum or difference of square roots such as sqrt(2) + sqrt(6), then multiply numerator and denominator by its conjugate, the same expression with the opposite operator. Thus [stuff]/(sqrt(2) + sqrt(6)) = [stuff](sqrt(2)-sqrt(6))/(sqrt(2) + sqrt(6))(sqrt(2)-sqrt(6)). Then use the difference of squares identity [(a+b)(a-b) = a^2-b^2] to rationalize the denominator, simplifying (sqrt(2) + sqrt(6))(sqrt(2)-sqrt(6)) =  sqrt(2)^2 - sqrt(6)^2 = 2-6 = -4.  This works for denominators like 5 + sqrt(3) too since every whole number is a square root of some other whole number. [1/(5 + sqrt(3)) = (5-sqrt(3))/(5 + sqrt(3))(5-sqrt(3)) = (5-sqrt(3))/(5^2-sqrt(3)^2) = (5-sqrt(3))/(25-3) = (5-sqrt(3))/22] This works for a sum of square roots like sqrt(5)-sqrt(6)+sqrt(7). If you group it as (sqrt(5)-sqrt(6))+sqrt(7) and multiply it by (sqrt(5)-sqrt(6))-sqrt(7), your answer won't be rational, but will be of the form a+b*sqrt(30) where a and b are rational. Then you can repeat the process with the conjugate of a+b*sqrt(30) and (a+b*sqrt(30))(a-b*sqrt(30)) is rational. In essence, if you can use this trick once to reduce the number of radical signs in the denominator, then you can use this trick repeatedly to eliminate all of them. This even works for denominators containing higher roots like the 4th root of 3 plus the 7th root of 9. Just multiply numerator and denominator by the denominator's conjugate. Unfortunately, it is not immediately clear what the conjugate of that denominator is nor how to go about finding it. A good book on algebraic number theory will cover this, but I will not. You now have whatever you started with up there times the denominator's conjugate. Go ahead and expand that product like you would for a product of polynomials. See if anything cancels or simplifies and combine like terms if possible.
A: Canonical form requires the denominator to be a whole number (or a polynomial if it contains indeterminate) if at all possible. Now the denominator is rationalized, but the numerator is a mess. If the denominator is a negative integer, then multiply numerator and denominator by -1 to make it positive.

Article: You can paint the entire wood structure whatever color you want to. Paint it to match your house or paint it a bold color to make it a backyard accent piece. Make sure the paint you use is appropriate for outdoor use. Paint can additionally protect the wood, prolonging the life of your structure. You can of course add corrugated aluminium or fiberglass roofing fit to size and secured with nails. However, for a magazine look, screw hooks 1” away from the top and bottom of each angled roof beam (on the inside area). Suspend stretch cable between these hooks and use curtains with rod pockets at the top and bottom to create beautiful designer-look roofing. You can similarly install curtain rods on the inside of the structure to hang curtains to create movable walls. These can be tied back to the posts when not in use. You can add all sorts of other extras to your gazebo. Hang flower pots between the posts and windows. Hang string lights to create a romantic effect. Fill it with a table and chairs or even a bed! You are limited only by your imagination.
Question: What is a summary of what this article is about?
Paint the structure. Add a roof covering. Create walls. Personalize your gazebo.