$(\sqrt{24}-\sqrt3)(\sqrt6+\sqrt3)=?$

Question

(Kök24-kök3).(kök6+kök3) sonuç ?

Comments

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Answer 1

$$\Big(\sqrt{24}-\sqrt{3}\Big)\Big(\sqrt{6}+\sqrt{3}\Big)$$

$\sqrt{24}$ ve $\sqrt{6}$ ifadelerini açalım.

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

Ortak paranteze alalım.

$$\sqrt{3}\Big(2\sqrt{2}-1\Big)\sqrt{3}\Big(\sqrt{2}+1\Big)$$

$$3\Big(2\sqrt{2}-1\Big)\Big(\sqrt{2}+1\Big)$$

Parantezleri çarpalım.

$$3\Big(3+\sqrt{2}\Big)=9+3\sqrt{2}$$