Đáp án:
`a)` `5/{21}`
`b)` `0,5`
`c)` `15`
`d)` `1/2`
Giải thích các bước giải:
`e)` `\sqrt{4/{36}.{25}/{49}}`
`=\sqrt{1/9 .(5/7)^2}`
`=5/7\sqrt{ (1/3)^2}=5/7 . 1/3=5/{21}`
Vậy: `\sqrt{4/{36}.{25}/{49}}=5/{21}`
$\\$
`f)` `\sqrt{0,001.250}`
`=\sqrt{0,01.25}=\sqrt{0,1^2 . 5^2}`
`=\sqrt{0,1^2}. \sqrt{5^2}=0,1\ . 5=0,5`
Vậy: `\sqrt{0,001.250}=0,5`
$\\$
`g)` `\sqrt{3} .\sqrt{75}`
`=\sqrt{3.75}=\sqrt{225}=\sqrt{15^2}=15`
Vậy: `\sqrt{3} .\sqrt{75}=15`
$\\$
`h)` `\sqrt{1/6}.\sqrt{3/2}`
`=\sqrt{1/6 . 3/2}=\sqrt{1/4}=\sqrt{(1/2)^2}=1/2`
Vậy: `\sqrt{1/6}.\sqrt{3/2}=1/2`
