\(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)=\(14-2.3\sqrt{2.14}+18+6\sqrt{28}=32\)
\(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)=\(14-2.3\sqrt{2.14}+18+6\sqrt{28}=32\)
rút gọn
\(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)
giúp vs ạ
Rút gọn biểu thức sau
\(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
a) \(\sqrt{28-2\sqrt{3}}+\sqrt{7}.\sqrt{7}+\sqrt{84}\)
b) \(\sqrt{14-6\sqrt{5}+\sqrt{14+6\sqrt{5}}}\)
rút gọn \(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\) ; \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
1/ \(\frac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
2/ \(\frac{9\sqrt{5}+3\sqrt{27}}{\sqrt{5}+\sqrt{3}}\)
3/ \(\sqrt{x^2+2}+\sqrt{x^2+2x+1}=1\)
Tìm x, biết:
1/ √3 × x - 3 = √27
2/ √2 × x - √28 = √32
3/ √6 × x - 2√6 = √54
4/ √3 × x - √2 × x = √3 + √2
1.Rút Gọn: a, \(\dfrac{\sqrt{6}+\sqrt{14}}{\sqrt[2]{3}+\sqrt{28}}\) b, \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2+\sqrt{3+\sqrt{4}}}}\)
2.
A= \(\sqrt{x+2}.\sqrt{x-3}\) và \(B=\sqrt{\left(x+2\right)\left(x-3\right)}\)
a, Tìm x để A có nghĩa. Tìm x để B có nghĩa.
b, Với giá trị nào của x thì A = B?
Rút gọn biểu thức:
1) \(\sqrt{12}+5\sqrt{3}-\sqrt{48}\)
2) \(5\sqrt{5}+\sqrt{20}-3\sqrt{45}\)
3) \(2\sqrt{32}+4\sqrt{8}-5\sqrt{18}\)
4) \(3\sqrt{12}-4\sqrt{27}+5\sqrt{48}\)
5) \(\sqrt{12}+\sqrt{75}-\sqrt{27}\)
6) \(2\sqrt{18}-7\sqrt{2}+\sqrt{162}\)
7) \(3\sqrt{20}-2\sqrt{45}+4\sqrt{5}\)
8) \(\left(\sqrt{2}+2\right)\sqrt{2}-2\sqrt{2}\)
9) \(\dfrac{1}{\sqrt{5}-1}-\dfrac{1}{\sqrt{5}+}\)
10) \(\dfrac{1}{\sqrt{5}-2}+\dfrac{1}{\sqrt{5}+2}\)
11) \(\dfrac{2}{4-3\sqrt{2}}-\dfrac{2}{4+3\sqrt{2}}\)
12) \(\dfrac{2+\sqrt{2}}{1+\sqrt{2}}\)
13) \(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right)\sqrt{7}+7\sqrt{8}\)
14) \(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)
15) \(\left(\sqrt{6}-\sqrt{5}\right)^2-\sqrt{120}\)
16) \(\left(2\sqrt{3}-3\sqrt{2}\right)^2+2\sqrt{6}+3\sqrt{24}\)
17) \(\sqrt{\left(1-\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{2}+3\right)^2}\)
18) \(\sqrt{\left(\sqrt{3}-2\right)^2}+\sqrt{\left(\sqrt{3}-1\right)^2}\)
19) \(\sqrt{\left(\sqrt{5}-3\right)^2}+\sqrt{\left(\sqrt{5}-2\right)^2}\)
20) \(\left(\sqrt{19}-3\right)\left(\sqrt{19}+3\right)\)
\(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right).\sqrt{7}+7\sqrt{8}\)