Question

Tính giá trị biểu thức:

a) \(\sqrt{0,04}-\sqrt{0,64}+\sqrt{1,44}.\)                b) \(\sqrt{\dfrac14}-\sqrt{\dfrac49}+\sqrt{\dfrac{16}{25}}.\)

c) \(\sqrt{100}.\dfrac35-\dfrac{3}{\sqrt{25}}.6-1,25+1\dfrac38;\) d) \(\dfrac{\sqrt{64}}{36}-\dfrac{2}{\sqrt{81}}.\dfrac56-1\dfrac13+5,2;\)

e) \(|1,5-\sqrt4|.0,(3)-\sqrt{\dfrac{16}{25}}.\dfrac13+\dfrac45.\dfrac13.\)

f) \(10.\sqrt{0,01}.\sqrt{\dfrac{16}{9}}+|-3\sqrt{49}|-\dfrac16\sqrt4.\)

Answer 1

`sqrt{0,04} - sqrt{0,64} + sqrt{1,44}`

`= 0,2 - 0,8 + 1,2  `

`= 0,6`

``

`sqrt{1/4} - sqrt{4/9} + sqrt{16/25} `

`= 1/2 - 2/3 + 4/5 `

`= 19/30`

``

`sqrt{100} .3/5 - 3/sqrt{25} . 6- 1,25 + 1`` 3/8`

`= 10 .3/5 - 3/5 . 6- 1,25 + 11/8`

`= 6 - 18/5 - 1,25 + 11/8`

`= 6 - 3,6 - 1,25 + 1,375`

`= 2,525`

Answer 2

`sqrt{64}/36 - 2/sqrt{81} . 5/6 - 1`` 1/3 + 5,2`

`= 8/36 - 2/9 . 5/6 - 4/3 + 5,2`

`= 2/9 - 5/27 - 4/3 + 5,2`

`= -35/27 + 5,2`

`= 527/135`

``

`|1,5 -sqrt{4}|.0,(3) - sqrt{16/25} .1/3 + 4/5 . 1/3`

`= |1,5 - 2|. 1/3 - 4/5 .1/3 + 4/5 . 1/3`

`= 0,5. 1/3 - (4/5 .1/3 - 4/5 . 1/3)`

`= 1/2 . 1/3`

`= 1/6`

``

`10 . sqrt{0,01} . sqrt{16/9} + |-3 sqrt{49}| - 1/6 . sqrt{4}`

`= 10 . 0,1 . 4/3 + |-3 .7| - 1/6 . 2`

`=  4/3 + 21 - 1/3`

`= (4/3 - 1/3) + 21`

`= 1 + 21`

`=22`