Square root of 40 as a fraction is Expressed as[Solved] (2024)

FAQs

Square root of 40 as a fraction is Expressed as[Solved]? ›

Answer: Square root of 40 as a fraction is 158/25.

Step 9: Thus, the approximate value of the square root of 40, √40 is 6.3245.

To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction. For example, √(4/16), can be written as √4/√16.

Square of 40: 40² = 1600

5. 6.

As we know that 36(62) and 49(72) are the two ideal squares that 40 falls between. 40 will therefore have a square root that is greater than 6 but less than 7. Consequently, 6 will be the whole number part. Consequently, 6.31 will be approximately equivalent to the square root of 40.

40 is not a perfect square, so its square root is irrational. The square root of 40 is: 6.324555320336759. It cannot be written as a simple fraction, so it is irrational.

To simplify the square root of a fraction, simplify the numerator and simplify the denominator.

To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator. For example, we can multiply 1/√2 by √2/√2 to get √2/2.

In the case of the square root of 40, the resulting value is a non-repeating and non-terminating decimal, which cannot be expressed as a fraction. Therefore, the square root of 40 is classified as an irrational number.

A square number cannot be a perfect number. 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201...

What is the side length of square root 40? ›

1 Expert Answer

If Area = 40 square units, then the side must be of length √40 which equals 2√10 ≈ 6.3246 units. Rounded as requested, about 6.3 units side length.

We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.

The value of 40% as a fraction in simplest form is 2/5.

The cube root of 40 is the number which when multiplied by itself three times gives the product as 40. Since 40 can be expressed as 2 × 2 × 2 × 5. Therefore, the cube root of 40 = ∛(2 × 2 × 2 × 5) = 3.42.