Lahenda {left(5sqrt{2}right)}^2-{left(3sqrt{2}right)}^2

$${ \left(5 \sqrt{ 2 } \right) }^{ 2 } - { \left(3 \sqrt{ 2 } \right) }^{ 2 }$$

Arvuta

$$32$$

Lahenduse etapid

Laiendage \left(5\sqrt{2}\right)^{2}.

$$5^{2}\left(\sqrt{2}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Arvutage 2 aste 5 ja leidke 25.

$$25\left(\sqrt{2}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

\sqrt{2} ruut on 2.

$$25\times 2-\left(3\sqrt{2}\right)^{2}$$

Korrutage 25 ja 2, et leida 50.

$$50-\left(3\sqrt{2}\right)^{2}$$

Laiendage \left(3\sqrt{2}\right)^{2}.

$$50-3^{2}\left(\sqrt{2}\right)^{2}$$

Arvutage 2 aste 3 ja leidke 9.

$$50-9\left(\sqrt{2}\right)^{2}$$

\sqrt{2} ruut on 2.

$$50-9\times 2$$

Korrutage 9 ja 2, et leida 18.

$$50-18$$

Lahutage 18 väärtusest 50, et leida 32.

$$32$$

Lahuta teguriteks

$$2^{5}$$