Dễ thấy \(A>0\)
\(A^2=94-42\sqrt{5}+94+42\sqrt{5}+2\sqrt{\left(94^2-42^2.5\right)}\)
\(A^2=188+2\sqrt{16}=196\)
\(\Rightarrow A=14\)
Dễ thấy \(A>0\)
\(A^2=94-42\sqrt{5}+94+42\sqrt{5}+2\sqrt{\left(94^2-42^2.5\right)}\)
\(A^2=188+2\sqrt{16}=196\)
\(\Rightarrow A=14\)
\(\sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}\)
tính
\(\sqrt{6,5+\sqrt{ }12}-\sqrt{6.5-\sqrt{12}+2\sqrt{6}}\)
\(\sqrt{94-42\sqrt{5}-\sqrt{94+42\sqrt{5}}}\)
\(\sqrt{50}-2\sqrt{72}-3\sqrt{2}+\sqrt{32}\)
\(\left(2\sqrt{5}-\sqrt{125}+\sqrt{80}\right)\sqrt{5}\)
\(\left(5\sqrt{2}-3\sqrt{32}+\sqrt{200}\right)\sqrt{8}\)
(\(\sqrt{45}+\frac{1}{2}\sqrt{20}-4\sqrt{5}-\sqrt{\left(1-15^2\right)}\))\(^2 \)
\(\sqrt{9-4\sqrt{5}-3\sqrt{80}}\)
Giúp mình với ạ ! Mai mình nộp rồi
Tính \(\sqrt{A}\) biết
\(A=13-2\sqrt{42}\)
\(A=46+6\sqrt{5}\)
\(A=12-3\sqrt{15}\)
B2: rút gọn:
a, \((\sqrt{14}+\sqrt{6})(\sqrt{5}-\sqrt{21})\)
b, A= \(\sqrt{7+\sqrt{15}}-\sqrt{7-\sqrt{13}}\)
giúp em với ạ , em cảm ơn nhiều
Giải các phương trình sau
a) \(x^2-7x+42=8\sqrt{3x+1}\)
b) \(\frac{x+y}{2}=\sqrt{x-3}+3\sqrt{y-5}-1\)
GIÚP MK NHANH NHA MK TICK CHO
Tính :
a) A= \(\sqrt{\sqrt{3}+\sqrt{2}}.\sqrt{\sqrt{3}-\sqrt{2}}\)
b) B=\(\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}}\)
c) C= \(3-\sqrt{3-\sqrt{5}}\)
Bài 1: Thực hiện phép tính :
a,\(\sqrt{252}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
b,\(\left(\sqrt{125}+\sqrt{245}-\sqrt{5}\right):\sqrt{5}\)
c,\(\left(2\sqrt{18}-5\sqrt{32}+6\sqrt{2}\right):\sqrt{2}\)
B1: tính : a, \(\sqrt{400.0,81}\)
b, \(\sqrt{\dfrac{5}{27}.\dfrac{3}{20}}\)
c, \(\sqrt{\left(-5\right)^2.3^2}\)
d, \(\sqrt{\left(2-\sqrt{5}\right)^2.\left(2+\sqrt{5}\right)^2}\)
B1:Tính
a) \(\sqrt{11}.\sqrt{1100}\)
b) \(\frac{\sqrt{10}-\sqrt{15}}{\sqrt{8}-\sqrt{12}}\)
c) \(\frac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}\)
d) \(\sqrt{9-\sqrt{17}}.\sqrt{9+\sqrt{17}}\)
e) \((\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}})^2\)
Mn giúp mình với ạ!!!