Question

đưa thừa số ra ngoài dấu căn:

a) \(-\sqrt{10x^2y\times\left(3-\sqrt{2^2}\right)}\)

b) \(\sqrt{3x^2-6xy+3y^2}\)

Answer 1

a,\(-\sqrt{10x^2\cdot y\left(3-\sqrt{2}\right)^2}=-\left|x\right|\) \(\cdot\left(3-\sqrt{2}\right)\cdot\sqrt{10y}\)

xet th \(x\ge0\) ta co \(-x\cdot\left(3-\sqrt{2}\right)\sqrt{10y}\)

xet th \(x< 0\) ta có \(x\left(3-\sqrt{2}\right)\sqrt{10y}\)

Answer 2

b,\(\sqrt{3\left(x^2-2xy+y^2\right)}=\) \(\sqrt{3\cdot\left(x-y\right)^2}=\left|x-y\right|\sqrt{3}\)