Rút gọn, tính giá trị biểu thức:

a.\(\sqrt{9\left(1+4x+4x^4\right)}\) tại \(x=-\sqrt{3}\)

b.\(\sqrt{4a^2\left(b^2+9-bb\right)}\)tại \(a=-3,b=-\sqrt{2}\)

Rút gọn:

a.\(\sqrt{3a}.\sqrt{27a}-5a\left(a\ge0\right)\)

b.\(\left(2-a\right)^2-\sqrt{0,3}.\sqrt{30a^2}\)

Rút gọn:

a.\(\sqrt{\dfrac{3a}{2}}.\sqrt{\dfrac{2a}{75}}\left(a\ge0\right)\)

b.\(\sqrt{5a}.\sqrt{\dfrac{2a}{a}}\left(a>0\right)\)

Rút gọn:

a.\(\sqrt{9-\left(a-1\right)^2}\left(a\ge1\right)\)

b.\(\sqrt{36-\left(a-3\right)^2}\left(a< 3\right)\)

c.\(\sqrt{a^2\left(a+2\right)^2}\left(a>0\right)\)

d.\(\sqrt{a^2\left(a-1\right)^2}\left(a< 0\right)\)

Tính:

a.\(\left(\sqrt{3}+\sqrt{5}\right)\sqrt{7-2\sqrt{10}}\)

b.\(\left(2+\sqrt{5}\right)\sqrt{9-4\sqrt{5}}\)