Question

关于二次根式的几个填空题 大家帮帮忙

⑴√4a³＝______
⑵√0.04a^4b³＝________
⑶化简：√45＝-------- √x³y^5﹙x≤0 y≤0﹚ ＝________
⑷m＞n＞0 化简√36m²／﹙m－n﹚²＝__________
⑸化简：√﹙x²－y²﹚﹙x＋y﹚ ﹙x＞y＞0﹚＝_________

Answer 1

⑴√4a³＝__2a√a____
⑵√0.04a^4b³＝_0.2a²b√b_______
⑶化简：√45＝---3√5----- √x³y^5﹙x≤0 y≤0﹚ ＝__-xy²√xy______
⑷m＞n＞0 化简√36m²／﹙m－n﹚²＝___6m/(m-n)_______
⑸化简：√﹙x²－y²﹚﹙x＋y﹚ ﹙x＞y＞0﹚＝___√(x-y)(x+y)²=(x+y)√(x-y)______

Answer 2

解：√4a^3=2a√a
√0.04a^4b^3=0.2a^2b√b
√45=3√5
√x^3y^5=Ixy^2I√xy
√36m^2/(m-n)^2=36m/(m-n)
√(x^2-y^2)(x+y)=√(x+y)^2(x-y)
=(x+y)√(x-y)