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Between which 2 whole numbers is the square root of 50?

1 Answer

Nov 15, 2016

$\sqrt{50}$ $sqrt50" "$ lies between 7 and 8.

Explanation:

It helps to know the first 20 square numbers by heart.

Which are the square numbers close to 50?

$\times \times x 50$ $color(white)(xxxxx)50$
$\times \times x ↓$ $color(white)(xxxxx)darr$
$36496481 \leftarrow$ $36" "49" "64" "81" "larr$ these are the perfect squares

$6789 \leftarrow$ $" "6" "7" "8" "9" "larr$ these are their square roots
$\times \times \times ↑$ $color(white)(xxxxxx)uarr$
$\times \times \sqrt{50}$ $color(white)(xxxx)sqrt50$

$\sqrt{50}$ $sqrt50" "$ lies between 7 and 8.

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