How do you simplify $\sqrt{6889}$ $sqrt(6889)$ ?

Question

How do you simplify $\sqrt{6889}$ $sqrt(6889)$ ?

1 Answer

Impact of this question

2480 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-01T03:44:09

We would try to find perfect squares that divide $6889$ $6889$ . If that is not possible, then consider $6889$ $6889$ as a perfect square. In that case, it can't be simplified under the square root.

Let's try starting at $80$ $80$ as the square root, since it squares to get close to $6889$ $6889$ .

$80^{2} = 6400$ $80^2 = 6400$
$81^{2} = 80 \cdot 80 + 81 + 80 = 6400 + 161 = 6561$ $81^2 = 80*80 + color(highlight)(81 + 80) = 6400 + color(green)(161) = 6561$
$82^{2} = 81 \cdot 81 + 82 + 81 = 6561 + 163 = 6724$ $82^2 = 81*81 + color(highlight)(82 + 81) = 6561 + color(green)(163) = 6724$
$83^{2} = 82 \cdot 82 + 83 + 82 = 6724 + 165 = 6889$ $83^2 = 82*82 + color(highlight)(83 + 82) = 6724 + color(green)(165) = 6889$

Well... there you have it.

$\sqrt{6889} = \pm 83$ $color(blue)(sqrt(6889) = pm 83)$ .

Science

Math

Humanities

... and beyond

How do you simplify $\sqrt{6889}$ $sqrt(6889)$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify √6889sqrt(6889)?

1 Answer

Related questions

Impact of this question

How do you simplify $\sqrt{6889}$ $sqrt(6889)$ ?