125 is a perfect cube number. 125 can be expressed as a sum of two squares in two different ways, 125 = 102 + 52 or 112 + 22. Square Root of 125 is expressed as 5 √5.
What are the steps to simplify radicals?
The first step to simplifying a radical is breaking it down into its perfect square numbers, (by perfect square numbers I mean numbers like 4, 9, 16, 25 etc.) for instance in the √12. This can be broken down into 3×4. Four is a perfect square number. Therefore its square root can be pulled out of the radical.
How do you simplify radicals with variables?
Simplifying Radical Expressions with Variables. When radicals (square roots) include variables, they are still simplified the same way. We just have to work with variables as well as numbers. 1) Factor the radicand (the numbers/variables inside the square root). Factor the number into its prime factors and expand the variable(s).
What is the simplest radical form?
Simplest radical form means that no number, or variable, under the radical may be re-expressed as an integer or variable to a power equal to or greater than the radical index. so radical(20) can be rewritten as radical (4 X 5), which can be rewritten as radical(4) X radical (5).
What is the square root of 75 in radical form?
Answer and Explanation: The square root of 75 is approximately 8.66025 or 5√3 in radical form. The factors of 75 can help in finding its square root.