Question

find the value of 5√243a^10b^5c^10​

Answer 1

• Factor 243 into its prime factors
•           243 = 35  
• To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
• Factors which will be extracted are :
•           81 = 34  
• Factors which will remain inside the root are :
•           3 = 3  
• To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
•           9 = 32  
• At the end of this step the partly simplified SQRT looks like this:  
•         9 • sqrt (3a10b5c10)