Problem: Article: These are the numbers outside of the radical sign. To simplify them, divide or reduce, ignoring the square roots for now. For example, if you are calculating 432616{\displaystyle {
rac {4{\sqrt {32}}}{6{\sqrt {16}}}}}, you would first simplify 46{\displaystyle {
rac {4}{6}}}. The numerator and denominator can both be divided by a factor of 2. So, you can reduce: 46=23{\displaystyle {
rac {4}{6}}={
rac {2}{3}}}. . If the numerator is evenly divisible by the denominator, simply divide the radicands. If not, simplify each square root as you would any square root. For example, since 32 is evenly divisible by 16, you can divide the square roots:3216=2{\displaystyle {\sqrt {
rac {32}{16}}}={\sqrt {2}}}. Remember that you cannot have a square root in a denominator, so when multiplying a fraction by a square root, place the square root in the numerator. For example, 232=223{\displaystyle {
rac {2}{3}} imes {\sqrt {2}}={
rac {2{\sqrt {2}}}{3}}}. This is called rationalizing the denominator. As a rule, an expression cannot have a square root in the denominator. To rationalize the denominator, multiply the numerator and denominator by the square root you need to cancel. For example, if your expression is 4327{\displaystyle {
rac {4{\sqrt {3}}}{2{\sqrt {7}}}}}, you need to multiply the numerator and denominator by 7{\displaystyle {\sqrt {7}}} to cancel the square root in the denominator:43777{\displaystyle {
rac {4{\sqrt {3}}}{\sqrt {7}}} imes {
rac {\sqrt {7}}{\sqrt {7}}}}=43777{\displaystyle ={
rac {4{\sqrt {3}} imes {\sqrt {7}}}{{\sqrt {7}} imes {\sqrt {7}}}}}=42149{\displaystyle ={
rac {4{\sqrt {21}}}{\sqrt {49}}}}=4217{\displaystyle ={
rac {4{\sqrt {21}}}{7}}}
Summary: Simplify the coefficients. Simplify the square roots Multiply the simplified coefficient(s) by the simplified square root. Cancel the square root in the denominator, if necessary.

INPUT ARTICLE: Article: Unless you have recently buzzed your hair, your haircut is likely a little uneven. But you don't need to shave your hair to start growing it out. Try to get your hair trimmed every 6-8 weeks as it grows to keep your top and sides roughly the same length. If your haircut remains uneven, it will eventually become noticeably longer in the back than on top. The last thing you want while you're growing out your hair is a mullet. Frequent scalp massages can increase the blood circulation and encourage faster hair growth. Massage for 5 minutes every day, applying firm pressure to your head. Dip your hands in coconut oil before massaging to introduce growth-promoting vitamins and minerals to your hair. " While growing out your hair, you will eventually get to a place where your 'do is neither long nor short. Don't give up and crop your hair short during this phase. Wear a hat or slick your hair back until it's even to get through the awkward stages. Don't throw away your clippers or say goodbye to your stylist the day you decide to grow your hair out. To combat unruliness as you grow your hair out, you'll need periodic haircuts. If your hair starts to look uneven and heading towards mullet territory, get a trim. Let your hairstylist know that you're growing out your hair so she can give you an accommodating cut. Even after you reach your ideal length, aim for a trim every 6 to 8 weeks to avoid split ends.

SUMMARY: Start out with an even cut, if possible. Massage your scalp daily to encourage hair growth. Have patience during your hair's "awkward phase. Adjust your cut periodically as your hair grows.

In one sentence, describe what the following article is about: To open the screen, you need to move the window out of the way. Open the window by unlocking it and sliding the lower sash up as far as it will go. A double-hung window is made of 2 movable panels known as sashes. The lower sash is the bottom panel that rests against the window sill. The screens for double-hung windows have 2 tabs on either side of its bottom. Find the tabs with your fingers, placing your index fingers on their outside edge. In most cases, you'll need to push the screen's tabs inward so it can slide along the track. Use your fingers to press the tabs, and carefully slide the screen up to open it as far as you'd like. Once you are ready to close the screen, you simply need to slide it back down into place. Make sure to close it fully so the screen clips engage and lock the screen in place.
Summary:
Raise the window's lower sash. Locate the tabs at the bottom of the screen. Push the tabs inward and slide the screen upward. Close the screen by sliding it back down.