Answer:
187 is closer so the square root of 35000 would be 187.082... or just
√35000
Step-by-step explanation:
187 x 187 = 34960
188 x 188 = 35344
Now find which is closer
35344-35000=31844
35000-34960=40
Hope this helps :)
Answer:
[tex]50\sqrt{14}[/tex]
Step-by-step explanation:
[tex]\sqrt{35000 }\\ \\\mathrm{Prime\:factorization\:of\:}35000:\quad 2^3\times\:5^4\times\:7\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^b\times\:a^c\\\\2^3\times\:5^4\times\:7=2^2\times\:2\times\:5^4\times\:7\\\\=\sqrt{2^2\times\:5^4\times\:2\times\:7}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b}\\\\\sqrt{2^2\times\:5^4\times\:2\times\:7}=\sqrt{2^2}\sqrt{5^4}\sqrt{2\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{5^4}\sqrt{2\times\:7}\\\\\sqrt{5^4}=25[/tex]
[tex]=2\times\:25\sqrt{2\times\:7}\\\\2\times\:25\sqrt{2\times\:7}=50\sqrt{14}[/tex]
