Square root of 125 in simplest radical form

A square root of a number is a value that, when multiplied by itself, gives the original number. Hence, the square root is the opposite process of squaring a number.

In this lesson, we will calculate the square root of by long division method. There are many methods to evaluate the square root of Let us try the prime factorization and the long division method here. To simplify the square root of , let us first express as a product of its prime factors. Example 2 : Jack has a swimming pool in his house. He finds a square swimming pool that has an area of sq feet. What should be the length of the sides of the square swimming pool?

Square root of 125 in simplest radical form

When we multiply the square root value to itself, it results in the original number. Thus, square root is the inverse method of squaring a number. Using prime factorisation , we can get the square root of the imperfect number in a radical form. But to find the exact square root, we can use the long division method. Let us see, how can we find the square root of In the prime factorisation method, we can write the number, , in the form of a product of prime factors. We can find the square root of upto three places of decimal here. We cannot use the repeated subtraction method to find the square root of , because is not a perfect square. In this method, we start subtracting the original number with the increasing order of odd numbers, until we get zero. Then, the number of times the subtraction is done is the required square root. To rationalize the denominator, we need to remove the radical term.

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Wiki User. To convert a percentage to decimal form divide it by You look for the largest perfect square, and take it out. The 5s then cancel out leaving b over the square root of 5. A small number at the upper left of a radical sign means, what root you want to take.

When we multiply the square root value to itself, it results in the original number. Thus, square root is the inverse method of squaring a number. Using prime factorisation , we can get the square root of the imperfect number in a radical form. But to find the exact square root, we can use the long division method. Let us see, how can we find the square root of In the prime factorisation method, we can write the number, , in the form of a product of prime factors. We can find the square root of upto three places of decimal here. We cannot use the repeated subtraction method to find the square root of , because is not a perfect square.

Square root of 125 in simplest radical form

Free Calculator reduces square roots to simplest radical form. Worksheet Simplifying Radicals Share these calculations with a friend! Worksheet Simplifying Radicals The free calculator will solve any square root, even negative ones and you can mess around with decimals too!

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Definite Integral Examples. Number System Conversion. No, is not a perfect square. Is the Square Root of Rational or Irrational? To convert a percentage to decimal form divide it by All Rights Reserved. No, is not a perfect square. Standard Form In Math. Still have questions? How do you write millionths in standard form? What is the square root of simplified? Step 4: Repeat this process to get the decimal places you want.

Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.

Report An Error. Let's learn how we can find the square root of What Is A Pictograph. The square root of is about Post My Comment. Maths Questions. Circles Class Between which two whole numbers, the square root of lies? Your Mobile number and Email id will not be published. Solved Examples Q. Learn Practice Download. All Rights Reserved. The 5s then cancel out leaving b over the square root of 5.