Evaluate the square root of 1156 by prime factorization

gibbokf5

gibbokf5

Answered question

2022-12-29

Evaluate the square root of 1156 by prime factorization

Answer & Explanation

blatt3qk

blatt3qk

Beginner2022-12-30Added 11 answers

The number 1156 is a composite and it should have prime factors. Now let's determine the prime factors of 1156.
Step 1
Prime factorizing given number
The first step is to divide the number 1156 using the smallest prime factor 2 and then by other factors till we get 1
1156÷2=578578÷2=289289÷17=1717÷17=1
So
1156=2×2×17×17
Step 2
By combining the variables, find the square root
1156=(2×2)×(17×17)1156=2×17=34

Therefore the square root of 1156 is 34

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