Name: Proving Pythagoras Theorem
Uploaded: 2019-07-19
Duration: 3 min 43 s
Description: In this video, we will learn the Pythagoras theorem and the method of proving the Pythagoras theorem by using geometry and algebraic identities in detail.

Question

Find the square root of the following:

$185.749641$

Accepted Answer

We know,

Follow the below given steps to find the square root of the rational numbers in decimal form:

Obtain the given number in the decimal form.

Place a bar or comma on the integral part similar to the way we do in finding square root of natural number.

Place a bar or comma on the decimal part on every pair of digits beginning with decimal places.

If any single place is left in the last, then affix a zero on the extreme right of the decimal part to make a pair.

Start finding the square root by long division process as done for natural number.

Place a decimal point in the quotient as soon as the integral part is exhausted.

Stop the process when the remainder is zero. The quotient so obtained is the required square root.

Given number is $185.749641$

Therefore, we get the square root as:

$\begin{matrix} 1 & 3 . & 6 & 2 & 9 \\ 1 & 1 & , 8 & 5 . & 7 & 4, & 9 & 6, & 4 & 1 \\ 1 \\ 23 & 0 & 8 & 5 \\ 6 & 9 \\ 266 & 1 & 6 & 7 & 4 \\ 1 & 5 & 9 & 6 \\ 2722 & 7 & 8 & 9 & 6 \\ 5 & 4 & 4 & 4 \\ 27249 & 2 & 4 & 5 & 2 & 4 & 1 \\ 2 & 4 & 5 & 2 & 4 & 1 \\ 0 \end{matrix}$

Hence, $\sqrt{185.749641} = 13.629$

Find the square root of the following:

$185.749641$

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following: 185.749641

Important Questions on Squares and Square Roots

Learn and Prepare for any exam you want !

Find the square root of the following:

$185.749641$