Question

Estimate the square root of 150

Answer 1

Henrik Oldcorn, A level in MathsUpdated May 11, 2016To simpify a square root of a number, express the number as factors. 150−−−√=3⋅50−−−−√This is to me the most obvious factortisation. Then, you take the fact that a⋅b−−−√=a√⋅b√Repeat until all numbers are prime.  150−−−√=3⋅50−−−−√=3√⋅50−−√=3√⋅2⋅25−−−−√=3√⋅25−−√⋅2√=5⋅3√⋅2√Most people would, however, expect you to express the number as an integer times a square root; just multiply two and three in this case to get 6, so: 150−−−√=56√This can be hard for large numbers without obvious factors

Answer 2

the square root of 150 is 12.247
I hope this will be helpful to you