√[(1/2x)^2+10/9x^2]
=√(x^2/4+10x^2/9)
=√(9x^2/36+40x^2/36)
=√(49x^2/36)
=7|x|/6;
[√(a^4mb^2n)]+1(a、b为正数)
=a^2mb^n+1;
√[(4a^5+8a^4)(a^2+3a+2)](a>=0)
=√[4a^4(a+2)(a+2)(a+1)]
=√[(2a^2)^2(a+2)^2(a+1)]
=2a^2(a+2)√(a+1).
√[(1/2x)^2+10/9x^2]
=√(x^2/4+10x^2/9)
=√(9x^2/36+40x^2/36)
=√(49x^2/36)
=7|x|/6;
[√(a^4mb^2n)]+1(a、b为正数)
=a^2mb^n+1;
√[(4a^5+8a^4)(a^2+3a+2)](a>=0)
=√[4a^4(a+2)(a+2)(a+1)]
=√[(2a^2)^2(a+2)^2(a+1)]
=2a^2(a+2)√(a+1).