Show the steps of square rootof 6889 ?

1 Answer
Truong-Son N.
Aug 6, 2018

The square root of 64 is 8, so the square root of 6400 is 80. That means the square root of 6889 is larger than 80.

The number ends in a 9, so the square root, if it is a whole number, ends in 3. Therefore, my first guess is 83.

sqrt(6889) = 83?

So let's try to work backwards to verify.

83 xx 83

= 80 xx 80 + 3 xx 83 + 80 xx 3

= 6400 + 249 + 240

= 6889 color(blue)(sqrt"")

Related questions
See all questions in Square Roots and Irrational Numbers
Impact of this question
1767 views around the world
You can reuse this answer
Creative Commons License