Question

Someone please help me with these. I don't need answers I would like someone to explain how to do finding the required root of the sections above and how to solve the expressions. Pictures have been added.

Answer 1

First, you need to determine the roots of the numbers inside the radical sign. I suggest factor them out into prime factors and condense them (write repeating factors in terms of exponents). Next, look at the factors with exponents less than the index. The index is the number written outside the radical sign. If it's asking for square root, there's nothing written outside. If it's asking for cube root, there is a 3 written outsides. The factors with exponents less than the index stays inside the radical. Now, look at the factors with exponents equal to greater than the index, divide the exponent by the index and determine if there are any remainders. Bring out the factor and put an exponent equal to the quotient. If there was a remainder, write again the factor inside the radical sign with the exponent equal to the remainder. Finally, simplify the factors outside by multiplying them. Do also for the factors insides the radical.