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. The number is an imperfect square, meaning that its square root will not be a whole number. We can use prime factorisation to find the square root of the imperfect number in a 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.

Square root of 125 in simplest radical form

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? The area of the square swimming pool is square feet. The length of each side of the swimming pool is the square root of its area. About Us. Already booked a tutor?

Sri Lanka. To rationalize the denominator, we need to remove the radical term.

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. If there is no number, the number "2" is assumed square root , meaning, "What number must I reais to the power 2, to get the number in the radical sign?

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

Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results. Everything is calculated quickly and automatically! With this tool, you can also estimate the square of the desired number just enter the value into the second field , which may be a great help in finding perfect squares from the square root formula. Are you struggling with the basic arithmetic operations: adding square roots, subtracting square roots, multiplying square roots, or dividing square roots?

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Circles Class Find more answers Ask your question. Saudi Arabia. In the prime factorisation method, we express the number, , as a product of its prime factors. Hence, the square root is the opposite process of squaring a number. Between which two whole numbers, the square root of lies? Report An Error. We can use prime factorisation to find the square root of the imperfect number in a radical form. Learn Square Root Of with tutors mapped to your child's learning needs. Visualising square roots. It is a perfect cube.

The tool to your left is straightforward to use , as it only needs two values to estimate the third one. It can also do the reverse calculations! If you are wondering what radical form is and want to learn about the radical notation, read the following article for all the basic information about this math operation.

Learn Square Root Of with tutors mapped to your child's learning needs. Onto Function. Terms and Conditions. The cube root of is 5; the square of 5 is Q: What is the square root of in radical form? Log in. Definite Integral Examples. What Is A Pictograph. To rationalize the denominator, we need to remove the radical term. Number System Conversion. How can we find the square root of ? The square root of ? About Us. We can use prime factorisation to find the square root of the imperfect number in a radical form.