Class9 ch1 root solving tips
1. How to add roots
2. How to subtract roots
3. How to multiiply roots
4. How to divide roots and some more
Answers
Addition
Just as with "regular" numbers, square roots can be added together. But you might not be able to simplify the addition all the way down to one number. Just as "you can't add apples and oranges", so also you cannot combine "unlike" radical terms.
Subtract
To add and subtract square roots, you need to combine square roots with the same radical term. ... There are many cases where you can actually simplify the number inside the radical to be able to combine like terms and to freely add and subtract square roots.
Multiply
Make sure that the radicals have the same index. To multiply radicals using the basic method, they have to have the same index. ...
Multiply the numbers under the radical signs. Next, simply multiply the numbers under the radical or square root signs and keep them there. ...
Simplify the radical expressions.
Division
Set up a fraction. If your expression is not already set up like a fraction, rewrite it this way. ...
Use one radical sign. If your problem has a square root in the numerator and denominator, you can place both radicands under one radical sign. ...
Divide the radicands. ...
Simplify, if necessary.