Question

Daca a=radical din 15 ^2+15^2 si b=radical din 2^4•3^2,atunci a-b
15 pct,va rog!!!

Answer 1

Răspuns:

$a = \sqrt{ {15}^{2} + {15}^{2} } = \sqrt{450} = 15 \sqrt{2}$

$b = \sqrt{ {2}^{4} \times {3}^{2} } = {2}^{2} \times 3 = 12$

$a - b = 15 \sqrt{2} - 12 = 3(5 \sqrt{2} - 4)$

Dacă e scris corect...

Answer 2

Răspuns: $\mathrm{\boxed{a-b=3\cdot (5\sqrt{2}-4)}}$

Explicație pas cu pas:

$\mathrm{a= \sqrt{15^{2} +15^{2}}=\sqrt{2\cdot15^{2}}\Rightarrow\boxed{a=15\cdot\sqrt{2}} }$

$\mathrm{b= \sqrt{2^{4} \cdot3^{2}}=\sqrt{(2^{2})^{2} \cdot3^{2}}=\sqrt{(2^{2}\cdot3)^{2}}=2^{2}\cdot3\Rightarrow\boxed{b=12}}$

$\mathrm{a-b=15 \sqrt{2}-12\Rightarrow\boxed{a-b=3\cdot (5\sqrt{2}-4)}}$