Algebra I: Calculate the root
This is a free lesson from our course in Algebra I
 
   
This lesson covers the basics of the square root, the cube root and the nth root. It also explains how to calculate a given root of a given number and how to calculate the square roots and cube roots of a number using the method of prime factorization.
You'll also learn how to find the 4th and the 5th root of a given number. And you'll learn how to deal with problems line: "What number is multiplied by itself to get 225?"
Hint: The approach to this problem is to break down 225 into prime factors. (More text below video...)
<h2>Algebra I - Calculate the root</h2> <p>exponent, basics, calculate, square, cube, root, nth roots, prime, factors, example, algebra help, prime factorization, practice questions, quizzes, online math</p> <p>how to calculate the square roots and cube roots of a number using the method of prime factorization.</p>
Other useful lessons:
Multiplying and dividing two numbers with same base and different exponents
Multiplying and dividing different bases with the same exponent
Calculating and working with zero exponents
Calculating and working with negative exponents
Convert between radicals and fractional exponents
(Continued from above) You can also deal with the numbers which are not perfect square (dealing here only with the positive roots) E.g. Find square root of 20. Since 16 = 4 and 25 = 5, then 20 should be between 4 and 5 somewhere. Then is the time to make a guess, for example 4.5. Square that, and see if the result is over or under 20, and improve your guess based on that. Repeat the process until you have the desired accuracy (amount of decimals).
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