Question

comparati 3√2 cu 2√3 , √12 cu 5​

Answer 1

Explicație pas cu pas:

$3 \sqrt{2} = \sqrt{18 } \\ 2 \sqrt{3} = \sqrt{12} \\ \sqrt{18} > \sqrt{12} \\ \\ 3 \sqrt{2} > 2 \sqrt{3}$

$\sqrt{12 } \\ 5 = \sqrt{25} \\ \sqrt{12} < \sqrt{25} \\ \sqrt{12} < 5$

Answer 2

Răspuns:

a)

$3\sqrt{2} \:\:\:\:\boxed{\:\:}\:\:\:\:2\sqrt{3} \:\:\:\:\Big|^2$

$(3\sqrt{2})^2 \:\:\:\:\boxed{\:\:}\:\:\:\:(2\sqrt{3})^2$

$18 \:\:\:\:\boxed{\:>\:}\:\:\:\:12$

$\bold{3\sqrt{2} \:\:\:\:\boxed{\:>\:}\:\:\:\:2\sqrt{3}}$

b)

$\sqrt{12} \:\:\:\:\boxed{\:\:}\:\:\:\:5 \:\:\:\:\Big|^2$

$(\sqrt{12})^2 \:\:\:\:\boxed{\:\:}\:\:\:\:5^2$

$12 \:\:\:\:\boxed{\:<\:}\:\:\:\:25$

$\bold{\sqrt{12} \:\:\:\:\boxed{\:<\:}\:\:\:\:5}$