Answer:
√m + √m = √2m ( CANNOT ADD √m + √n)
√m - √m = 0 ( CANNOT SUBTRACT √m + √n)
√m x √n = √mn
[tex]\implies \frac{\sqrt{m}}{\sqrt{n}} =\sqrt{ \frac{m}{n}}[/tex]
Step-by-step explanation:
A number m which if in the ROOT form is called a RADICAL.
Example : √2, ∛8, √6 .. etc.
Here, the number Inside the root is called RADICAND.
Also, the number Outside the root is called INDEX.
ADDITION OF RADICALS:
The number that is under the radical must be the same for each radical in order to add two radicals.
⇒ We CAN add √3 and √3 but CANNOT add √3 and √5.
SUBTRACTING OF RADICALS:
The number that is under the radical must be the same for each radical in order to subtract two radicals.
⇒ We CAN Subtract √3 from √3 but CANNOT subtract √3 from √5.
MULTIPLICATION OF RADICALS:
To multiply any two radicals, simply MULTIPLY The NUMBERS inside the radical.
⇒√m x √n = √mn
DIVISION OF RADICALS:
To divide any two radicals, simply DIVIDE The NUMBERS inside the radical.
[tex]\implies \frac{\sqrt{m}}{\sqrt{n}} =\sqrt{ \frac{m}{n}}[/tex]
