How do you simplify $\sqrt{4205}$ $sqrt(4205)$ ?

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Answer 1 · 2016-02-14T10:23:33

$= 29 \sqrt{5}$ $=29sqrt5$

Let's find out factors of the given number 4205

Since there is 5 in the units place, 5 must be a factor.
$4205 = 5 \times 841$ $4205=5xx841$
To find factors of 841, we observe 1 in the unit's place. So the factor could have either 1 or 9 in its units place.
Possible factors are 11, 19, 21, 29. By trial and error we find that 29 is a factor.
$4205 = 5 \times 29 \times 29$ $4205=5xx29xx29$

Now the question becomes
$\sqrt{4205} = \sqrt{5 \times 29 \times 29}$ $sqrt4205=sqrt(5xx29xx29)$

Taking 29 out of the square root sign

$= 29 \sqrt{5}$ $=29sqrt5$

How do you simplify √4205sqrt(4205)?