Question

square root by prime factorization method for 1156​

Answer 1

Answer:

$hello$

1156 = 2 x 578

= 2 x 2 x 289

= 2 x 2 x 17 x 17

∴ √1156 = √(2 x 2 x 17 x 17)

√1156 = 2 x 17

√1156 = = 34

Answer 2

Answer:

34

Step-by-step explanation:

In prime factorisation method , we first find the prime factors of the given number and then we pair the prime factors.

After pairing the prime factors, we take out the number whose pair is available whereas leaving the number in square root whose pair is not available

$\sqrt{1156} = \sqrt{(2 \times 2 \times 17 \times 17)} \\ making \: the \: pairs \: of \: prime \: factors \\ we \: get \: \\ \sqrt{1156} = 2 \times 17 \\ \sqrt{1156} = 34$

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