rút gọn: \(\sqrt{7+4\sqrt{3}}+\sqrt{13-4\sqrt{3}}\)
Rút gọn biểu thức sau:
\(\dfrac{\left(4+\sqrt{7}\right).\sqrt{4-\sqrt{7}}}{\sqrt{4+\sqrt{7}}}\)
Rút gọn biểu thức
a) \(\sqrt{23+8\sqrt{7}}-\sqrt{7}\)
b) \(\sqrt{4+2\sqrt{3}}-\sqrt{3}\)
c) \(\sqrt{13-4\sqrt{3}}-\left(1+\sqrt{3}\right)^2\)
Rút gọn biểu thức:
\(A=\sqrt{\left(2-\sqrt{7}\right)^2}+\left(\sqrt{7}-1\right)^2\)
\(B=3\sqrt{\left(1,5\right)^2}-4\sqrt{\left(3-\sqrt{2}\right)^2}\)
Rút gọn
A=\(\sqrt{13+4\sqrt{10}}\)
B= \(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\)
C= \(\dfrac{1}{\sqrt{2}-\sqrt{3}}-\dfrac{1}{\sqrt{3}-\sqrt{5}}+\dfrac{1}{\sqrt{5}-\sqrt{7}}\)
\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=7\)
Bài 1
a). x2 - 7=
b). x2 - \(2\sqrt{2}\) x + 2=
c). x2 + \(2\sqrt{13}\)x +13=
Giải pt: \(\sqrt{7-x}+\sqrt{x+1}=x^2-6x+13\)