[sqrt(70)]

[rare pike]

whats the best way of getting [sqrt(70)]?

i just ballpark guessed sqrt(2) = 1.4, sqrt(5) = 2.2 and sqrt(7) = 2.6 and manually found 1.4 * 2.2 * 2.6 = 8.008, but that doesnt seem like a very elegant solution. i suspect im being real stupid

[rugged quarry]

√64 < √70 < √81
8 < √70 < 9
√70 = 8 + (some decimal)
[√70] = 8

If you want a general method to approximate square roots:
√x ≈ [√x] + (x - [√x]²)/2[√x]
Works best when x is slightly larger than a perfect square, gets more accurate for large x

[rare pike]

ah, makes sense

got it

cheers