{left(3/2sqrt{16/6sqrt{2}}right)}^2 eching

$${ \left( \frac{ 3 }{ 2 } \sqrt{ \frac{ 16 }{ 6 \sqrt{ 2 } } } \right) }^{ 2 }$$

Baholash

$$3\sqrt{2}\approx 4,242640687$$

Yechim qadamlari

\frac{16}{6\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\left(\frac{3}{2}\sqrt{\frac{16\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$\left(\frac{3}{2}\sqrt{\frac{16\sqrt{2}}{6\times 2}}\right)^{2}$$

Surat va maxrajdagi ikkala 2\times 2 ni qisqartiring.

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

\left(\frac{3}{2}\sqrt{\frac{4\sqrt{2}}{3}}\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{9}{4}\left(\sqrt{\frac{4\sqrt{2}}{3}}\right)^{2}$$

2 daraja ko‘rsatkichini \sqrt{\frac{4\sqrt{2}}{3}} ga hisoblang va \frac{4\sqrt{2}}{3} ni qiymatni oling.

$$\frac{9}{4}\times \frac{4\sqrt{2}}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{4} ni \frac{4\sqrt{2}}{3} ga ko‘paytiring.

$$\frac{9\times 4\sqrt{2}}{4\times 3}$$

Surat va maxrajdagi ikkala 3\times 4 ni qisqartiring.

$$3\sqrt{2}$$

Kengaytirish

$$3 \sqrt{2} = 4,242640687$$

Yechim qadamlari

\frac{16}{6\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\left(\frac{3}{2}\sqrt{\frac{16\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$\left(\frac{3}{2}\sqrt{\frac{16\sqrt{2}}{6\times 2}}\right)^{2}$$

Surat va maxrajdagi ikkala 2\times 2 ni qisqartiring.

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

\left(\frac{3}{2}\sqrt{\frac{4\sqrt{2}}{3}}\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{9}{4}\left(\sqrt{\frac{4\sqrt{2}}{3}}\right)^{2}$$

2 daraja ko‘rsatkichini \sqrt{\frac{4\sqrt{2}}{3}} ga hisoblang va \frac{4\sqrt{2}}{3} ni qiymatni oling.

$$\frac{9}{4}\times \frac{4\sqrt{2}}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{4} ni \frac{4\sqrt{2}}{3} ga ko‘paytiring.

$$\frac{9\times 4\sqrt{2}}{4\times 3}$$

Surat va maxrajdagi ikkala 3\times 4 ni qisqartiring.

$$3\sqrt{2}$$