What is the square root of 133?

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Answer 1 · 2018-03-03T15:06:37

$\approx 11.55$ $~~11.55$ in estimation, $11.53$ $11.53$ actual.

Given: $\sqrt{133}$ $sqrt(133)$

We have:

$133 = 7 \cdot 19$ $133=7*19$

Using approximation,

$\sqrt{133}$ $sqrt(133)$

$= \sqrt{7} \cdot \sqrt{19}$ $=sqrt(7)*sqrt(19)$

$\approx 2.65 \cdot 4.36$ $~~2.65*4.36$

$\approx 11.55$ $~~11.55$

Using a calculator, I get $11.53$ $11.53$ however.

Note that I only took the principal square root, which is usually used.