Hello students! Do you know that there are 4 laws of radicals? Today I am going to teach you how to apply these laws.
For the first law, it is stated that if the index of the radical and the exponent of the base are equal then the simplified form of the equation is equal to the base. Let us look at the board to further understand the concept.
ⁿ√aⁿ = (ⁿ√a)ⁿ = a
ⁿ√aⁿ= (ⁿ√a)ⁿ = a
Here on the board are two of the examples on how this law is applied. Let us explore it in detail! All of the indexes and exponents are equal in the three numbers; therefore, when simplified it will all be equal to the radicand. For the third number, the only thing left to do is to multiply 3 to the variable.
Now, let us head to the second law. It is stated here that these values are equal to each other. Observe the given values in the blackboard to further understand the law. Let us now move on the examples.
ⁿ√ab = ⁿ√a × ⁿ√b
We can see in the blackboard 2 examples on how to apply this law. Now, do you have any questions?