Show the steps of square rootof 6889 ?

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Show the steps of square rootof 6889 ?

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Answer 1 · 2018-08-06T19:20:51

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

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

$\sqrt{6889} = 83$ $sqrt(6889) = 83$ ?

So let's try to work backwards to verify.

$83 \times 83$ $83 xx 83$

$= 80 \times 80 + 3 \times 83 + 80 \times 3$ $= 80 xx 80 + 3 xx 83 + 80 xx 3$

$= 6400 + 249 + 240$ $= 6400 + 249 + 240$

$= 6889$ $= 6889$ $\sqrt{}$ $color(blue)(sqrt"")$

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Show the steps of square rootof 6889 ?

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