(2sqrt{5}+3sqrt{2})(2sqrt{5}-3sqrt{2}) eching

$$(2 \sqrt{ 5 } +3 \sqrt{ 2 } )(2 \sqrt{ 5 } -3 \sqrt{ 2 } )$$

Baholash

$$2$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

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

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

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4\left(\sqrt{5}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

\sqrt{5} kvadrati – 5.

$$4\times 5-\left(3\sqrt{2}\right)^{2}$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$20-\left(3\sqrt{2}\right)^{2}$$

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

$$20-3^{2}\left(\sqrt{2}\right)^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$20-9\left(\sqrt{2}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$20-9\times 2$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$20-18$$

2 olish uchun 20 dan 18 ni ayirish.

$$2$$

Omil

$$2$$