=sqrt{2sqrt3^24(3sqrt{3})^2} eching

$$= \sqrt { 2 \sqrt { 3 } ^ { 2 } 4 ( 3 \sqrt { 3 } ) ^ { 2 } }$$

Baholash

$$18\sqrt{2}\approx 25,455844123$$

Yechim qadamlari

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\sqrt{8\left(\sqrt{3}\right)^{2}\times \left(3\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{8\times 3\times \left(3\sqrt{3}\right)^{2}}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$\sqrt{24\times \left(3\sqrt{3}\right)^{2}}$$

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

$$\sqrt{24\times 3^{2}\left(\sqrt{3}\right)^{2}}$$

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

$$\sqrt{24\times 9\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{24\times 9\times 3}$$

27 hosil qilish uchun 9 va 3 ni ko'paytirish.

$$\sqrt{24\times 27}$$

648 hosil qilish uchun 24 va 27 ni ko'paytirish.

$$\sqrt{648}$$

Faktor: 648=18^{2}\times 2. \sqrt{18^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{18^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 18^{2} ning kvadrat ildizini chiqarish.

$$18\sqrt{2}$$