frac{595sqrt{41}}{492}*164/215sqrt{41} eching

$$\frac{ 595 \sqrt{ 41 } }{ 492 } \times \frac{ 164 }{ 215 \sqrt{ 41 } }$$

Baholash

$$\frac{119}{129}\approx 0,92248062$$

Yechim qadamlari

\frac{164}{215\sqrt{41}} maxrajini \sqrt{41} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{595\sqrt{41}}{492}\times \frac{164\sqrt{41}}{215\left(\sqrt{41}\right)^{2}}$$

\sqrt{41} kvadrati – 41.

$$\frac{595\sqrt{41}}{492}\times \frac{164\sqrt{41}}{215\times 41}$$

Surat va maxrajdagi ikkala 41 ni qisqartiring.

$$\frac{595\sqrt{41}}{492}\times \frac{4\sqrt{41}}{215}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{595\sqrt{41}}{492} ni \frac{4\sqrt{41}}{215} ga ko‘paytiring.

$$\frac{595\sqrt{41}\times 4\sqrt{41}}{492\times 215}$$

Surat va maxrajdagi ikkala 4\times 5 ni qisqartiring.

$$\frac{119\sqrt{41}\sqrt{41}}{43\times 123}$$

41 hosil qilish uchun \sqrt{41} va \sqrt{41} ni ko'paytirish.

$$\frac{119\times 41}{43\times 123}$$

Surat va maxrajdagi ikkala 41 ni qisqartiring.

$$\frac{119}{3\times 43}$$

129 hosil qilish uchun 3 va 43 ni ko'paytirish.

$$\frac{119}{129}$$

Omil

$$\frac{7 \cdot 17}{3 \cdot 43} = 0,9224806201550387$$