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simplify (2√5+3√7)^2
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\[(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\]
how did you get that?
no I meant like what are the steps
@AldousJames dude he's not allowed to use calculators to find square roots of numbers
\[(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\] \[2\sqrt{5}\times 2\sqrt{5}+2\times 2\sqrt{5}\times 3\sqrt{7}\times 3\sqrt{7}\times 3\sqrt{7}\]
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\[=4\times5+12\sqrt{35}+9\times 7\] \[=20+12\sqrt{35}+63\] \[=83+12\sqrt{35}\]
83+ 12^0.5
four multiplications just like \((a+b)^2=a^2+2ab+b^2\)
The task was to simplify so and not to calculate so I guess using a calculator would be quite wrong. satellite73 did it right.
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