Question

Answer 1

\(5=\sqrt{25}>\sqrt{24}=2\sqrt{6}\)

\(4=\sqrt{16}< \sqrt{19}\)

\(4\sqrt{3}=\sqrt{48}< \sqrt{49}=7\)

Answer 2

`3\sqrt{10}=\sqrt{3^2 .10}=\sqrt{90}`

`4\sqrt{5}=\sqrt{4^2 .5}=\sqrt{80}`

Vì `90 > 80<=>\sqrt{90} > \sqrt{80}` Hay `3\sqrt{10} > 4\sqrt{5}`

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`3\sqrt{2}=\sqrt{3^2 .2}=\sqrt{18}`

`2\sqrt{3}=\sqrt{2^2 .3}=\sqrt{12}`

Vì `18 > 12<=>\sqrt{18} > \sqrt{12}` Hay `3\sqrt{2} > 2\sqrt{3}`

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`2+\sqrt{6}`    `5=2+3=2+\sqrt{9}`

Vì `6 < 9<=>2+\sqrt{6} < 2+\sqrt{9}` Hay `2+\sqrt{6} < 5`

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`7-2\sqrt{2}=7-\sqrt{2^2 .2}=7-\sqrt{8}`   

`4=7-3=7-\sqrt{9}`

Vì `8 < 9<=>7-\sqrt{8} < 7-\sqrt{9}`

Hay `7-2\sqrt{2} < 4`

 

Answer 3

$5=\sqrt{25}>\sqrt{24}=2\sqrt{6}$

$4=\sqrt{16}<\sqrt{19}$

$4\sqrt{3}=\sqrt{48}<\sqrt{49}=7$

Answer 4

$3\sqrt{10}=\sqrt{{}^{}.10}=\sqrt{90}$

$4\sqrt{5}=\sqrt{{}^{}.5}=\sqrt{80}$

Vì $90>80\iff \sqrt{90}>\sqrt{80}$ Hay $3\sqrt{10}>4\sqrt{5}$

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$3\sqrt{2}=\sqrt{{}^{}.2}=\sqrt{18}$

$2\sqrt{3}=\sqrt{{}^{}.3}=\sqrt{12}$

Vì $18>12\iff \sqrt{18}>\sqrt{12}$ Hay