\(-\sqrt{\left(\sqrt{2}-\sqrt{5}\right)^2}=-\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}\)
=\(-\left|\sqrt{5}-\sqrt{2}\right|=\sqrt{2}-\sqrt{5}\)
\(-\sqrt{\left(\sqrt{2}-\sqrt{5}\right)^2}=-\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}\)
=\(-\left|\sqrt{5}-\sqrt{2}\right|=\sqrt{2}-\sqrt{5}\)
Rút gọn rồi tính:
a) \(5\sqrt{\left(-2\right)^4}\) c)\(\sqrt{\sqrt{\left(-5\right)^8}}\)
b)\(-4\sqrt{\left(-3\right)^6}\)
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: \(A=\left(1+\dfrac{a-\sqrt{a}}{\sqrt{a}-1}\right)\left(1-\dfrac{a+2\sqrt{a}}{2+\sqrt{a}}\right)\)
Rút gọn rồi tính :
a) \(5\sqrt{\left(-2\right)^4}\)
b) \(-4\sqrt{\left(-3\right)^6}\)
c) \(\sqrt{\sqrt{\left(-5\right)^8}}\)
d) \(2\sqrt{\left(-5\right)^6}+3\sqrt{\left(-2\right)^8}\)
rút gọn: \(\sqrt{0,169}\)+\(\sqrt{0,25}\)-\(\sqrt{\left(-11\right)^{ }2}\)
rút gọn K
K = \(\sqrt{9-\sqrt{17}}.\sqrt{9+\sqrt{17}}-\sqrt{\left(-8\right)^2}\)
1. \(\left(\dfrac{\sqrt{x}}{\sqrt{x}+2}-\dfrac{4}{x+2\sqrt{x}}\right):\left(1+\dfrac{1}{\sqrt{x}}\right)\)
Rút gọn biểu thức A
Rút gọn các biểu thức sau:
a, \(\sqrt{\left(120-11\right)^2}+\sqrt{\left(10-\sqrt{120}\right)^2}\)
b, \(\sqrt{x+2+2\sqrt{x+1}-\sqrt{x+2+2\sqrt{x+1}}}\) ( với đk x \(\ge\) -1 )
Giúp em với !!
rút gọn biểu thức
B = \(2\sqrt{3a}-\sqrt{75a}+a\sqrt{\dfrac{13,5}{2a}}-\sqrt{300a^2}\left(a>0\right)\)
Rút gọn các biểu thức sau :
a) \(\sqrt{\left(4+\sqrt{2}\right)^2}\)
b) \(\sqrt{\left(3-\sqrt{3}\right)^2}\)
c) \(\sqrt{\left(4-\sqrt{17}\right)^2}\)
d) \(2\sqrt{3}+\sqrt{\left(2-\sqrt{3}\right)^2}\)