\(\sqrt{5^2-4^2}-\sqrt{0,25}\)+ \(\sqrt{\frac{9}{4}}\)

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6 tháng 12 2017

\(\sqrt{5^2-4^2}-\sqrt{0,25}+\sqrt{\frac{9}{4}}\)

\(=\sqrt{3^2}-\sqrt{\left(0,5\right)^2}+\sqrt{\left(\frac{3}{2}\right)^2}\)

\(=3-\left(0,5\right)+\frac{3}{2}\)

\(=4\)

6 tháng 12 2017

\(=\sqrt{25-16}-0,5+\frac{3}{2}\)

\(=\sqrt{9}-0,5+1,5\)

\(=3-0,5+1,5\)

\(=4\)

17 tháng 7 2019

1. a) 3+2=5

b) 0,5-0,1=0,4

c) 4/5-1/9=31/45

d) 2-0,6=1,4

2. a) 8-4+3=7

b) 11+5-3=13

c) 3/2-4/6-7-37/6

d) 4+5-6=3

17 tháng 7 2019

Mơn nhìu <3

d: \(D=-8\cdot\left(\dfrac{3}{4}-\dfrac{1}{4}\right):\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)

\(=-8\cdot\dfrac{1}{2}:\dfrac{27-14}{12}\)

\(=-4:\dfrac{13}{12}\)

\(=-4\cdot\dfrac{12}{13}=-\dfrac{48}{13}\)

e: \(E=5\cdot4-4\cdot3+5-0.3\cdot20\)

=20-12+5-6

=8+5-6

=13-6=7

f: \(F=\dfrac{9}{4}+\dfrac{5}{6}-\dfrac{3}{2}:6\)

\(=\dfrac{9}{4}+\dfrac{5}{6}-\dfrac{3}{12}\)

\(=\dfrac{27}{12}+\dfrac{10}{12}-\dfrac{3}{12}=\dfrac{34}{12}=\dfrac{17}{6}\)

4 tháng 3 2020

a. 0,4.\(\sqrt{0,25}-\sqrt{\frac{1}{4}}\)
=0,4.\(\sqrt{0,25}-\sqrt{0,25}\)
=(0,4-1).\(\sqrt{0,25}\)
=-0,6.0,5
=-0,3
b.\(|x-\frac{1}{2}|\)-\(\sqrt{\frac{1}{9}}=\sqrt{\frac{1}{4}}\)
\(|x-\frac{1}{2}|=\sqrt{\frac{1}{4}}+\sqrt{\frac{1}{9}}\)
\(|x-\frac{1}{2}|=\frac{1}{2}+\frac{1}{3}\)
\(|x-\frac{1}{2}|=\frac{5}{6}\)
\(\Rightarrow\left[{}\begin{matrix}x-\frac{1}{2}=\frac{5}{6}\\x-\frac{1}{2}=\frac{-5}{6}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\frac{5}{6}+\frac{1}{2}\\x=\frac{-5}{6}+\frac{1}{2}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\frac{4}{3}\\x=\frac{-1}{3}\end{matrix}\right.\)
vậy x \(\in\left\{\frac{4}{3};\frac{-1}{3}\right\}\)

26 tháng 7 2019

a)\(\sqrt{0,09}\)+2.\(\sqrt{0,25}\)=0,3+2.0,5

                                            =0,3+1

                                            =1,3      

b)0,5.\(\sqrt{100}\)-\(\sqrt{\frac{4}{25}}\)=0,5.10-0,4

                                           =5-0,4

                                           =4,6

c)(\(\sqrt{1\frac{9}{16}}\)  -\(\sqrt{\frac{9}{16}}\)):5=(1,25-0,75):5

                                              =0,5:5

                                              =0,1

d)3.\(\sqrt{1\frac{17}{64}}\) -2.\(\sqrt{0,0625}\)=1,125-2.0,25

                                                      =1,125-0,5

                                                      =0,625  

29 tháng 10 2020

a) \(\left(\frac{2^2}{5}\right)+5\frac{1}{2}.\left(4,5-2,5\right)+\frac{2^3}{-4}\)

\(=\frac{4}{5}+\frac{11}{2}.2+\frac{-8}{4}\)

\(=\frac{4}{5}+11-2\)

\(=\frac{4}{5}+9\)

\(=\frac{49}{9}\)

b) \(\left(-2^3\right)+\frac{1}{2}:\frac{1}{8}-\sqrt{25}+\left|-64\right|\)

\(=-8+4-5+64\)

= 55

c) \(\frac{\sqrt{3^2+\sqrt{39}^2}}{\sqrt{91^2}-\sqrt{\left(-7\right)^2}}\)

\(=\frac{\sqrt{9+39}}{91-\sqrt{49}}\)

\(=\frac{\sqrt{48}}{91-7}\)

\(=\frac{4\sqrt{3}}{84}\)

\(=\frac{\sqrt{3}}{41}\)

d) Xem lại đề nhé em!

e) \(\sqrt{25}-3\sqrt{\frac{4}{9}}\)

\(=5-3.\frac{2}{3}\)

= 5 - 2

= 3

h) \(\left(-3^2\right).\frac{1}{3}-\sqrt{49}+\left(5^3\right):\sqrt{25}\)

\(=-9.\frac{1}{3}-7+125:5\)

\(=-3-7+25\)

= 15

4 tháng 8 2019

a) \(\sqrt{\frac{4}{81}}:\sqrt{\frac{25}{81}}-1\frac{2}{5}\)

\(=\frac{2}{9}:\frac{5}{9}-\frac{7}{5}\)

\(=\frac{2}{5}-\frac{7}{5}\)

\(=-1.\)

b) \(\sqrt{36}.\sqrt{\frac{25}{16}}+\frac{1}{4}\)

\(=6.\frac{5}{4}+\frac{1}{4}\)

\(=\frac{15}{2}+\frac{1}{4}\)

\(=\frac{31}{4}.\)

c) \(1\frac{1}{2}+\frac{4}{7}:\left(-\frac{8}{9}\right)\)

\(=\frac{3}{2}+\frac{4}{7}:\left(-\frac{8}{9}\right)\)

\(=\frac{3}{2}+\left(-\frac{9}{14}\right)\)

\(=\frac{6}{7}.\)

d) \(1,17-0,4.\left(\frac{1}{2}\right)^2-\frac{1}{-5}\)

\(=\frac{117}{100}-\frac{2}{5}.\frac{1}{4}-\left(-\frac{1}{5}\right)\)

\(=\frac{117}{100}-\frac{1}{10}+\frac{1}{5}\)

\(=\frac{107}{100}+\frac{1}{5}\)

\(=\frac{127}{100}.\)

Chúc bạn học tốt!

4 tháng 8 2019

a, \(\frac{4}{81}:\sqrt{\frac{25}{81}-1\frac{2}{5}}\)

\(\Rightarrow\frac{4}{81}:\frac{5}{9}-\frac{7}{5}\)

\(\Rightarrow\frac{4}{81}.\frac{9}{5}-\frac{7}{5}\)

\(\Rightarrow\frac{4}{9}.\frac{1}{5}-\frac{7}{5}\)

\(\Rightarrow\frac{-59}{45}\)

b,\(\sqrt{36}.\sqrt{\frac{25}{16}+\frac{1}{4}}\)

\(\Rightarrow6.\frac{5}{4}+\frac{1}{4}\)

\(\Rightarrow\frac{15}{2}+\frac{1}{4}\)

\(\Rightarrow\frac{31}{4}\)

c,\(1\frac{1}{2}+\frac{4}{7}:\frac{-8}{9}\)

\(\Rightarrow\frac{3}{2}-\frac{4}{7}.\frac{-8}{9}\)

\(\Rightarrow\frac{3}{2}-\frac{9}{14}\)

\(\Rightarrow\frac{6}{7}\)

d, \(1,17-\left(0,4.\frac{1}{2}\right)^2-\frac{1}{5}\)

\(\Rightarrow\frac{117}{100}-\left(\frac{1}{5}\right)^2-\frac{1}{5}\)

\(\Rightarrow\frac{117}{100}-\frac{1}{25}-\frac{1}{5}\)

\(\Rightarrow\frac{93}{100}\)

22 tháng 2 2020

C = \(25.\left(\frac{-1}{3}\right)^3\) \(+\frac{1}{5}\) \(-2.\left(\frac{-1}{2}\right)^2\) \(-\frac{1}{2}\)

C = \(25.\left(\frac{-1}{27}\right)+\frac{1}{5}\) \(-2.\frac{1}{4}\) \(-\frac{1}{2}\)

C = \(\frac{-25}{27}\) \(+\frac{1}{5}\) \(-\frac{1}{2}\) \(-\frac{1}{2}\)

C = \(\frac{-25}{27}\) \(+\frac{1}{5}\) \(-1\)

C = \(\frac{-125}{135}\) \(+\frac{27}{135}\) \(-\frac{135}{135}\)

C = \(\frac{-233}{135}\)

D =  \(-8.\left(\frac{3}{4}-\frac{1}{4}\right):\left(\frac{9}{4}-\frac{7}{6}\right)\)

D = \(-8.\frac{1}{2}\) \(.\frac{12}{13}\)

D = \(-4.\frac{12}{13}\)

D = \(\frac{-48}{13}\)

E = \(5\sqrt{16}\) \(-4\sqrt{9}\) \(+\sqrt{25}\) \(-0,3\sqrt{400}\)

E = \(5.4-4.3+5-0,3.20\)

E = \(20-12+5-6\)

E = \(8+\left(-1\right)\)

E = \(7\)

F = \(\left(\frac{-3}{2}\right)\) \(+\left|\frac{-5}{6}\right|\) \(-1\frac{1}{2}\) \(:6\)

F = \(\left(\frac{-3}{2}\right)\) \(+\frac{5}{6}\) \(-\frac{3}{2}\) \(.\frac{1}{6}\)

F = \(\left(\frac{-3}{2}\right)\) \(+\frac{5}{6}\) \(-\frac{1}{4}\) 

F = \(\left(\frac{-18}{12}\right)\) \(+\frac{10}{12}\) \(-\frac{3}{12}\)

F = \(\frac{-11}{12}\)

 Chúc cậu hk tốt ~ 

30 tháng 10 2017

1.

0,2 . \(\sqrt{100}\) - \(\sqrt{\dfrac{16}{25}}\)

= 0,2 . 10 - \(\dfrac{4}{5}\)

= 2 - \(\dfrac{4}{5}\)

= \(\dfrac{6}{5}\)

30 tháng 10 2017

1/ \(0,2.\sqrt{100}-\sqrt{\dfrac{16}{25}}\)

\(=0,2.10-0,8\)

\(=2-0,8=1,2\)

2/ \(\dfrac{2^7.9^3}{6^5.8^2}\)

\(=\dfrac{93312}{497664}=\dfrac{3}{16}=0,1875\)

3/ \(\sqrt{0,01}-\sqrt{0,25}\)

\(=0,1-0,5\)

\(=-0,4\)

4/ \(0,5.\sqrt{100}-\sqrt{\dfrac{1}{4}}\)

\(=0,5.10-0,5\)

\(=5-0,5=4,5\)

5/ \(7.\sqrt{0,01}+2.\sqrt{0,25}\)

\(=7.0,1+2.0,5\)

\(=0,7+1=1,7\)

6/ \(0,5.\sqrt{100}-\sqrt{\dfrac{1}{25}}\)

\(=0,5.10-0,2\)

\(=5-0,2=4,8\)

1 tháng 2 2020

\(A=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-1\frac{15}{17}+\frac{2}{3}=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-\frac{64}{34}+\frac{14}{21}=\left(\frac{15}{34}+\frac{9}{34}-\frac{64}{34}\right)+\left(\frac{7}{21}+\frac{14}{21}\right)=\frac{30}{34}+\frac{21}{21}=\frac{15}{17}+1=\frac{32}{17}\)