Question

Can the square root of 34 be simplified?

Answer 1

Hint: In this problem, we have to find whether the square root of 34 can be simplified or not. We can first find the prime factors of the number 34, if we have double factors then we can simplify the given square root, but here we have only two prime factors for 34, that are 17 and 2, we can now see whether we can simplify it or not in the solution.

Complete step by step answer:
Here we have to find whether the square root of 34 can be simplified or not.
We can first find the prime factors of the for the given number, if we have double factors then we can simplify the given square root.
To find a square root of any number, we take one number from each pair consisting of the same numbers and we multiply them. But we have,
We know that 34 has only two prime factors which are 2 and 7,
\[\Rightarrow 17\times 2=34\]
We can see that the given number 34 has no pairs consisting of the same numbers.
Therefore, \[\sqrt{34}\] cannot be simplified.

Note: We should always remember that to find a square root of any number, we take one number from each pair consisting of the same numbers and we multiply them. If we do not have any pairs consisting of the same numbers then it cannot be simplified further.