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

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

Baholash

$$73$$

Yechim qadamlari

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

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

\left(5\sqrt{3}\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

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

\sqrt{3} kvadrati – 3.

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

75 hosil qilish uchun 25 va 3 ni ko'paytirish.

$$75-\left(\sqrt{2}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$75-2$$

73 olish uchun 75 dan 2 ni ayirish.

$$73$$

Omil

$$73$$