Question

how to find the square root of 135.61​

Answer 1

Answer:

Decimal numbers have two parts - an integer or a whole number part which is before the decimal point and the fractional point which is after the decimal point. The decimal point is a period or dot that acts as a separator between the whole number and fractional part. The fractional part of a decimal number is always less than 1. In this article, we will see how to find the square root of a decimal number.

There are many methods to find the square root of a decimal number. Let us see some of the examples below.

Example

Solve \sqrt {0.64}

Solution

Remove the decimal point and write the decimal number 0.64 as a fraction like this:

0.64 = \frac {64} {100}

Now, take the square root of the numerator and the denominator separately:

\sqrt {0.64} = \frac {\sqrt {64}} {\sqrt {100}}

64 is equal to 8 \cdot 8 and 100 is equal to 10 \cdot 10. The resulting fraction will be:

= \frac {8} {10} = 0.8

Hence, the answer will be \sqrt {0.64} = \pm 0.8

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