Question

square root of 17344 with explanation​

Answer 1

Answer:

131.6966

Step-by-step explanation:

 1 | 1 73 44 | 131

   |  -1

23|   0 73

  +3|   -69

 261|          444

                 - 261

                     1 8 3

It is a non-perfect square number

If you simplify more 131.6966

Answer 2

Answer:

$8\sqrt{271}$   ≈   131.6966

Step-by-step explanation:

Find Prime Factors of 17,344:

*Since 17,344 is even, we can divide it by '2' (2 is a prime number)

17344÷2=8,672

8,672÷2=4,336

4,336÷2=2,168

2,168÷2=1,084

1,084÷2=542

542÷2=271

*We divided by '2' a total of 6 times

*Since 271 is prime, we cannot divide any further and we have found the prime factors of 17,344

17,344 = 2 x 2 x 2 x 2 x 2 x 2 x 271

Pair up prime factors of 17,344

$\sqrt{(2*2)*(2*2)*(2*2)*271}=2*2*2\sqrt{271}=8\sqrt{271}$

$\sqrt{271}$ is between 16 and 17

since $16^{2} =256$ and $17^{2} =289$

estimated value of $\sqrt{271} = 16.4621$

$8*16.4621=131.6966$

Answer: 131.6966