Giúp mik với nha!!
\(\sqrt{25}-\sqrt[3]{\frac{4}{9}}\)
bài 1 tính
a,\(C=3.\sqrt{25}-3.\sqrt{\frac{1}{9}}\)
b,\(D=-4\sqrt{\frac{4}{25}}+3\sqrt{0,16}-2\sqrt{0,04}\)
giúp mik với ~~~
a) \(C=3\cdot\sqrt{25}-3\cdot\sqrt{\frac{1}{9}}\)
\(C=3\cdot5-3\cdot\frac{1}{3}\)
\(C=15-1=14\)
b) \(D=-4\sqrt{\frac{4}{25}}+3\sqrt{0,16}-2\sqrt{0,04}\)
\(D=-4\cdot\frac{2}{5}+3\cdot\frac{2}{5}-2\cdot\frac{1}{5}\)
\(D=\frac{1}{5}\cdot\left(-8+6-2\right)\)
\(D=\frac{1}{5}\cdot\left(-4\right)=-\frac{4}{5}\)
cmr các đẳng thức :
1/\(\sqrt[3]{2}+\sqrt[3]{20}-\sqrt[3]{25}=3\sqrt{\sqrt[3]{5}-\sqrt[3]{4}}\)
2/\(\frac{\sqrt[4]{5}+1}{\sqrt[4]{5}-1}=\sqrt[4]{\frac{3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}\)
3/\(\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{\frac{1}{9}}-\sqrt[3]{\frac{2}{9}}+\sqrt[3]{\frac{4}{9}}\)
giúp mik vs mik cần gấp lắm
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)\(-2^4-\left(-2\right)^2:\left(-\sqrt{\frac{16}{121}}\right)-\left(-\sqrt{\frac{2}{3}}\right)^2:\left(-2\frac{2}{3}\right)\)
thực hiện phép tính
\(-\sqrt{25}+\sqrt{\frac{9}{4}}\)
giúp mik với ak
\(-\sqrt{25}+\sqrt{\frac{9}{4}}\)
\(=-5+\frac{3}{2}\)
\(=\frac{-7}{2}\)
chúc bạn học tốt
giúp mik vs
\[ 5\sqrt{\frac{9x - 27}{25}} - 7\sqrt{\frac{4x - 12}{9}} - 7\sqrt{x^2 - 9} + 18\sqrt{\frac{9x^2 - 81}{81}} = 0 \]
=>\(5\cdot\dfrac{3\sqrt{x-3}}{5}-7\cdot\dfrac{2\sqrt{x-3}}{3}-7\cdot\sqrt{x^2-9}+18\cdot\sqrt{\dfrac{9}{81}\left(x^2-9\right)}=0\)
=>\(3\cdot\sqrt{x-3}-\dfrac{14}{3}\sqrt{x-3}=7\cdot\sqrt{x^2-9}-18\cdot\dfrac{3}{9}\cdot\sqrt{x^2-9}\)
=>\(-\dfrac{5}{3}\sqrt{x-3}=\sqrt{x^2-9}\)
=>\(\sqrt{x-3}\left(\sqrt{x+3}+\dfrac{5}{3}\right)=0\)
=>x-3=0
=>x=3
giúp mình rút gọn biểu thức này với: \(6\sqrt{\frac{3}{4}}+10\sqrt{\frac{12}{25}}-15\sqrt{\frac{16}{3}}+9\sqrt{\frac{4}{3}}\)
\(6\sqrt{\frac{3}{4}}+10\sqrt{\frac{12}{25}}-15\sqrt{\frac{16}{3}}+9\sqrt{\frac{4}{3}}\)
\(=6\cdot\frac{\sqrt{3}}{2}+10\cdot\frac{2\sqrt{3}}{5}-15\cdot\frac{4}{\sqrt{3}}+9\cdot\frac{2}{\sqrt{3}}\)
\(=3\sqrt{3}+4\sqrt{3}-20\sqrt{3}+6\sqrt{3}=-7\sqrt{3}\)
Trả lời:
\(6\sqrt{\frac{3}{4}}+10\sqrt{\frac{12}{25}}-15\sqrt{\frac{16}{3}}+9\sqrt{\frac{4}{3}}\)
\(=6.\frac{\sqrt{3}}{\sqrt{4}}+10.\frac{\sqrt{12}}{\sqrt{25}}-15.\frac{\sqrt{16}}{\sqrt{3}}+9.\frac{\sqrt{4}}{\sqrt{3}}\)
\(=6.\frac{\sqrt{3}}{2}+10.\frac{\sqrt{2^2.3}}{5}-15.\frac{4}{\sqrt{3}}+9.\frac{2}{\sqrt{3}}\)
\(=3\sqrt{3}+10.\frac{2\sqrt{3}}{5}-15.\frac{4\sqrt{3}}{3}+9.\frac{2\sqrt{3}}{3}\)
\(=3\sqrt{3}+4\sqrt{3}-20\sqrt{3}+6\sqrt{3}\)
\(=\left(3+4-20+6\right).\sqrt{3}=-7\sqrt{3}\)
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
\(\sqrt{\frac{1}{9}+\frac{1}{16}}\)
\(=\frac{1}{3}+\frac{1}{4}\)
\(=\frac{7}{12}\)
\(\sqrt{4+36+81}\)
\(=\sqrt{121}\)
\(=\pm11\)
\(\sqrt{1^3}+2^3\)
\(=\sqrt{1}+8\)
\(=1+8\)
\(=9\)
Bạn Duy giúp mik vs
Tính:
a) \(\sqrt{0,36}+\sqrt{0,49}\)
b) \(\sqrt{\frac{4}{9}}-\sqrt{\frac{25}{36}}\)
a)\(\sqrt{0,36}\)+\(\sqrt{0,49}\)=0,6+0,7=1,3
b)\(\sqrt{\frac{4}{9}}\)-\(\sqrt{\frac{25}{36}}\)=2/3-5/6=4/6-5/6=-1/6
a) \(\sqrt{0,36}+\sqrt{0,49}=\sqrt{\left(0,6\right)^2}+\sqrt{\left(0,7\right)^2}=0,6+0,7=1,3\)
b) \(\sqrt{\frac{4}{9}}-\sqrt{\frac{25}{36}}=\sqrt{\left(\frac{2}{3}\right)^2}-\sqrt{\left(\frac{5}{6}\right)^2}=\frac{2}{3}-\frac{5}{6}=-\frac{1}{6}\)
a,4.\(\sqrt{0,16-15.\sqrt{\frac{1}{25}}+\sqrt{4.3^2}}\)
b,\(\sqrt{\frac{1}{4}}\)
c,\([\frac{2}{3}]^{x-1}=\frac{9}{4}\)
giúp mình nha mình cần gâp ai nhanh mình cho 3 k
\(a)=4\sqrt{0,16-3+4,3}\)\(=4\sqrt{1,46}\)
\(b)=\frac{1}{2}\)
câu c đúng đè ko vậy