CM A thuoc Z va B thuoc Z voi :
A = \(\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}\)
B = \(\frac{\sqrt{3-2\sqrt{2}}}{\sqrt{17-12\sqrt{2}}}-\frac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
\(\sqrt{10-2\sqrt{21}}=\sqrt{a}-\sqrt{b},vớia,b\in Z,thìa-b=\)
Nếu \(\sqrt{10-2\sqrt{21}}=\sqrt{a}-\sqrt{b}\)với \(a,b\in Z\) thì a - b = ?
1. CMR Neu \(ax^3=by^3=cz^3\)va 1/x + 1/y +1/z =1 thi \(\sqrt[3]{ax^2+by^2+cz^2}=\sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}\)
2. tim x,y biet \(x+\sqrt{2-x^2}=4y^2+4y+3\)
\(\sqrt{11-2\sqrt{18}}\)= a+ b\(\sqrt{2}\)
tinh ab=? ( a, b thuoc Z)
neu \(\sqrt{14-6\sqrt{5}}=a+b\sqrt{5}\) thi a+b?
\(P=\left(\frac{\sqrt{a}}{\sqrt{ab}-b}+\frac{2\sqrt{a}-\sqrt{b}}{\sqrt{ab}-a}\right):\left(\frac{1}{b\sqrt{a}}-\frac{1}{a\sqrt{b}}\right)\)
1)chung minh \(P=\sqrt{ab}\)
2) tinh gia tri cua P khi \(a=3-\sqrt{5}\) va b=0,5
3) ting gia tri lon nhat cua P neu \(a^2+4b^2=8\)
\(\sqrt{10-2\sqrt{21}}=\sqrt{a}-\sqrt{b}\) tính a-b= ?
\(\sqrt{10-2\sqrt{21}}=\sqrt{a}-\sqrt{b}\)
Tìm hiệu a-b.