化简与计算:(见问题补充)化简与计算:(1)√(a²b⁴+a⁴b²)(a≥0,b≥0); (2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)

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化简与计算:(见问题补充)化简与计算:(1)√(a²b⁴+a⁴b²)(a≥0,b≥0); (2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)

化简与计算:(见问题补充)化简与计算:(1)√(a²b⁴+a⁴b²)(a≥0,b≥0); (2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)
化简与计算:(见问题补充)
化简与计算:(1)√(a²b⁴+a⁴b²)(a≥0,b≥0); (2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)

化简与计算:(见问题补充)化简与计算:(1)√(a²b⁴+a⁴b²)(a≥0,b≥0); (2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)
(1)√(a²b⁴+a⁴b²)(a≥0,b≥0);
=√[a²b²(b²+a²)]
=ab√(b²+a²)
(2)√[(m²+n²)²-(m²-n²)²] (m>0,n>0)
=√{[(m²+n²)+(m²-n²)]×[(m²+n²)-(m²-n²)]}
=√[(2m²)×(2n²)]
=√(4m²n²)
=2mn