How To: Square expressions involving radicals

Square expressions involving radicals

Here we look at squaring expressions that involve radicals because people tend to make some common mistakes while solving such expressions. Take 5 times the square root of y quantity squared, the answer here is not 5y. Here's the reason, square means to multiply something with itself so the square of 5 root y would be 5 root y into 5 root y. So 5 x 5 is 25 and under root y into under root y equals just y so the answer will be 25y.
Now take under root of (x-3) being added into 7 quantity squared. This will not be x-3+49. The reason for this is that you can't distribute a square over addition. Now the same principle will apply here, both under root of (x-3) and 7 have to be multiplied separately to under root of (x-3) added into 7 with a plus sign in the middle. It will be simplified to a three term answer with the radical still there.

Just updated your iPhone? You'll find new features for Podcasts, News, Books, and TV, as well as important security improvements and fresh wallpapers. Find out what's new and changed on your iPhone with the iOS 17.5 update.

Be the First to Comment

Share Your Thoughts

  • Hot
  • Latest