Question

一些二次根试4xy/根号下2xy当X大于0,Y小于0时,化简根号下Y^3/X^4-Y^5/X^6根号下36/a^2+36

Answer 1

4xy/根号下2xy =√2xy

当X大于0,Y小于0时,化简根号下Y^3/X^4-Y^5/X^6

Y^3/X^4-Y^5/X^6

=Y^3X^2/X^6-Y^5/X^6

=(Y^3X^2-Y^5)/X^6

=Y^3(X^2-Y^2)/X^6

=Y^3(X+Y)(X-Y)/X^6

根号下36/a^2+36/b^2

=√36*(a^2+b^2)/a^2b^2

=6/ab√(a^2+b^2)