\(\left(\sqrt{\frac{36}{81}}+\sqrt{\frac{16}{25}}\right):\sqrt{\frac{100}{36}}=\left[\sqrt{\left(\frac{6}{9}\right)^2}+\sqrt{\left(\frac{4}{5}\right)^2}\right]:\sqrt{\left(\frac{10}{6}\right)^2}\)
=\(\left(\frac{6}{9}+\frac{4}{5}\right):\frac{10}{6}=\left(\frac{2}{3}+\frac{4}{5}\right).\frac{3}{5}=\left(\frac{10}{15}+\frac{12}{15}\right).\frac{3}{5}=\frac{22}{15}.\frac{3}{5}=\frac{22}{25}\)
Tính
a) \(2\sqrt{\frac{25}{16}}-3\sqrt{\frac{49}{36}}+4\sqrt{\frac{81}{64}}\)
b) \(\left(3\sqrt{2}\right)^2-\left(4\sqrt{\frac{1}{2}}\right)^2+\frac{1}{16}.\left(\sqrt{\frac{3}{4}}\right)^2\)
c) \(\frac{2}{3}\sqrt{\frac{81}{16}}-\frac{3}{4}\sqrt{\frac{64}{9}}+\frac{7}{5}.\sqrt{\frac{25}{196}}\)
\(Cho\)\(x=\left(1+\frac{1}{\sqrt{1}}\right)+\left(1+\frac{1}{\sqrt{9}}\right)+\left(\frac{1}{\sqrt{25}}\right)+\left(1+\frac{1}{\sqrt{49}}\right)+\left(1+\frac{1}{\sqrt{81}}\right)\)
\(y=\left(1+\frac{1}{\sqrt{4}}\right)+\left(1+\frac{1}{\sqrt{16}}\right)+\left(1+\frac{1}{\sqrt{36}}\right)+\left(1+\frac{1}{\sqrt{64}}\right)+\left(1+\frac{1}{\sqrt{100}}\right)\)
Tính x.y
Mn ơi, giúp mk nha, mai mk nộp òi!
A = \(\sqrt{\frac{1}{9}+\frac{1}{16}}\)
B = \(\sqrt{4+36+81}\)
C = \(\sqrt{1^{3^{ }}+}2^3\)
E = \(\left(\sqrt{\frac{1}{9}+\sqrt{\frac{25}{36}-\sqrt{\frac{49}{81}}:}\sqrt{\frac{441}{324}}}\right)\)
F = \(-4.\sqrt{\frac{1}{16}+3.\sqrt{\frac{1}{9}}-}5.\sqrt{0,04}\)
Mg các bạn giúp mik ạ
Cảm ơn ạ
Cho y=\(\frac{1+\sqrt{x}}{1-\sqrt{x}}\)
Cmr Với mọi x thuộc A=\((\frac{16}{9};\frac{25}{16};\frac{49}{36};\frac{100}{81})\)
thì y thuộc Z
\(\sqrt{\frac{25}{4}}+\left(\sqrt{\frac{1}{2}}\right)^2:\left(\frac{-\sqrt{9}}{4}\right).\sqrt{\frac{16}{81}}-4^2-\left(-2\right)^3\)
Giúp mik với
Tính
a)\(\frac{2}{3}\sqrt{81}-\left(\frac{-3}{4}\right).\sqrt{\frac{9}{64}}+\left(\frac{\sqrt{2}}{3}\right)^2\)
b)\(\left(-\sqrt{\frac{5}{4}}\right)^2-\sqrt{\frac{9}{4}}:\left(-4,5\right)-\sqrt{\frac{25}{16}}.\sqrt{\frac{64}{9}}\)
c)\(-2^4-\left(-2\right)^2:\left(-\sqrt{\frac{16}{121}}\right)-\left(-\sqrt{\frac{2}{3}}\right)^2:\left(-2\frac{2}{3}\right)\)
2. a) \(\sqrt{64}-\sqrt{16}+\sqrt{\left(-3^2\right)}\) b) \(\sqrt{121}+\sqrt{\left(-5\right)^2}-\sqrt{9}\)
c) \(\sqrt{\frac{9}{4}}-\sqrt{\frac{16}{36}}-\sqrt{49}\) d) \(\sqrt{\left(-4\right)^2}+\sqrt{\left(-5\right)^2}-\sqrt{\left(-6\right)^2}\)
a)
\(\frac{3}{7}+\left(-\frac{5}{2}\right)+\left(-\frac{3}{5}\right)\)
b)
\(\frac{4}{5}-\left(-\frac{2}{7}\right)-\frac{7}{10}\)
c)
\(3,5-\left(-\frac{2}{7}\right)\)
d)
\(\sqrt{\left(-7\right)^2}+\sqrt{\frac{25}{16}}-\frac{3}{2}\)
e)
\(\sqrt{0,36}.\sqrt{\frac{25}{16}}+\frac{1}{4}\)
f)
\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}}+\left(\frac{1}{3}\right)^0\)
g)
\(\sqrt{\frac{4}{81}}:\sqrt{\frac{25}{81}}-1\frac{2}{5}\)
i)
\(\frac{21^9.2^{10}}{14^9.3^8}\)
k)
\(\frac{10^{11}.21^{12}}{15^{10}.14^{11}}\)
l)
\(0,5.\sqrt{100}-\sqrt{\frac{1}{4}}\)
1)tính kết quả:
a, A=\(2\times\sqrt{a}-3\times\sqrt{16}+5\times\sqrt{31}\)
b, B=\(\left(\sqrt{\frac{1}{16}}+\sqrt{\frac{4}{25}}\right)\div\sqrt{\frac{25}{36}}\)
c, \(\left(\sqrt{5}\right)^2-\left(2\times\sqrt{3}\right)^2+\left(4\times\sqrt{2}\right)^2\)
