(lg5)^2-(lg2)^2+2lg√10/5+0.25^-1/2 X 1/64的立方根

(lg5)^2-(lg2)^2+2lg√10/5+0.25^-1/2 X 1/64的立方根
(lg5)^2-(lg2)^2+2lg√10/5+0.25^-1/2 X 1/64的立方根

(lg5)^2-(lg2)^2+2lg√10/5+0.25^-1/2 X 1/64的立方根
(lg5)^2-(lg2)^2+2lg√10/5+0.25^-1/2 X 1/64的立方根
=(lg5+lg2)(lg5-lg2)+1/5+0.25^-1/2x1/4
=1x(1-2lg2)+1/5-1/16
=91/80-2lg2

> a := log10(5.0)^2-log10(2)^2+2.0*log10(sqrt(2.0+(1/64)*.25^(-1/2)));
print(`output redirected...`); # input placeholder
2
...

全部展开

> a := log10(5.0)^2-log10(2)^2+2.0*log10(sqrt(2.0+(1/64)*.25^(-1/2)));
print(`output redirected...`); # input placeholder
2
ln(2)
0.7963224449 - -------
2
ln(10)
> a^(1/3);
print(`output redirected...`); # input placeholder
(1/3)
/ 2 \
| ln(2) |
|0.7963224449 - -------|
| 2|
\ ln(10) /
这是符号解
> 1/64+0.;
print(`output redirected...`); # input placeholder
0.01562500000
> a := log10(5.0)^2-log10(2)^2+2.0*log10(sqrt(2.0+0.15625e-1*.25^(-1/2)));
print(`output redirected...`); # input placeholder
2
ln(2)
0.7963224449 - -------
2
ln(10)
> .7963224449-ln(2.0)^2/ln(10.0)^2;
print(`output redirected...`); # input placeholder
0.7057033866
> .7057033866^(1/3);
print(`output redirected...`); # input placeholder
0.8903089390
最后这个数是数值解

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