Q:
# What Is the Square Root of 34?

**Rounded to two decimal places, the square root of 34 is 5.83.** It is not possible to simplify the radical ?34 because the number 34 does not have any perfect square factors.

Sometimes one can simplify a radical expression rather than resorting to writing it as a rounded decimal, even if the number under the square root is not a perfect square. For example, ?32 can also be written as 4?2, because ?32 = ?(16*2) = ?16 * ?2 = 4*?2. This works because 32 has 16 as a factor, and 16 is a perfect square. The factors of 34 are 1, 2, 17 and 34, none of which are perfect squares, so ?34 does not simplify any further.

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