Find square root of 1156 by prime factorisation
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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
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the square root of 1156 if 34
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