Question

Find square root of 1156 by prime factorisation

Answer 1

Step-by-step explanation:

Let us factorize the number 1156.

First as the last number is even we will divide number by 2 till the last number is even ,

\frac{1156}{2} = 57821156=578

\frac{578}{2} = 2892578=289

Now we know 289 is the square of 17

\Rightarrow \frac{289}{17} = 17⇒17289=17

So factorizing 1156, we get = (2\times2\times17\times17)=(2^2\times17^2)=(2×2×17×17)=(22×172)

Hence, the square root of 1156 = (2\times17) =341156=(2×17)=34

I HOPE ITS HELP YOU

Answer 2

the square root of 1156 if 34