Calculate: \(\sqrt{2}\cdot\sqrt{8}-1{,}25\).
2,25
1,75
3,75
2,75
\(\sqrt{2}\cdot\sqrt{8}=\sqrt{16}=4\).
Then \(4-1{,}25=2{,}75\).
Calculate: \(\dfrac{\sqrt{200}}{\sqrt{2}}-0{,}2\).
10,2
9,8
8,8
9,2
\(\dfrac{\sqrt{200}}{\sqrt{2}}=\sqrt{\dfrac{200}{2}}=\sqrt{100}=10\).
Then \(10-0{,}2=9{,}8\).
Calculate: \(2{,}1-\sqrt{0{,}036}\cdot\sqrt{10}\).
2,7
1,2
1,5
1,9
\(\sqrt{0{,}036}\cdot\sqrt{10}=\sqrt{0{,}36}=0{,}6\).
Then \(2{,}1-0{,}6=1{,}5\).
Calculate: \(\sqrt{49}-0{,}5^{5}:0{,}5^{3}\).
6,75
6,25
6,5
7,25
\(\sqrt{49}=7\).
\(0{,}5^{5}:0{,}5^{3}=0{,}5^{5-3}=0{,}5^{2}=0{,}25\).
Then \(7-0{,}25=6{,}75\).
Calculate: \(\sqrt{3}\cdot\sqrt{12}-5{,}45\).
1,45
5,55
0,55
0,45
\(\sqrt{3}\cdot\sqrt{12}=\sqrt{36}=6\).
Then \(6-5{,}45=0{,}55\).