Question

FInd the square of 14/ 19 .

Answer 1

Answer:

0.8584

Step-by-step explanation:

DirectorySquare Root

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Square Root of 14/19

Square Root of a Fraction

The square root of 14/19 can either mean the square root of (14/19) or the square root of 14 divided by 19. These are different problems with potentially different answers.

Calculate √14/19

The square root of (14/19) is the same as the square root of 14 divided by the square root of 19. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

√14

√19

≈

3.7417

4.3589

≈ 0.8584

Alternatively, we first divide 14 by 19 and then do the square root of the quotient:

√14/19 ≈ √0.7368 ≈ 0.8584