frac{sqrt{15}}{4}frac{sqrt{6}}{6}+frac{sqrt{30}}{6}1/4 eching

$$\frac { \sqrt { 15 } } { 4 } \frac { \sqrt { 6 } } { 6 } + \frac { \sqrt { 30 } } { 6 } \frac { 1 } { 4 }$$

Baholash

$$\frac{\sqrt{30}+3\sqrt{10}}{24}\approx 0,62350244$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{15}}{4} ni \frac{\sqrt{6}}{6} ga ko‘paytiring.

$$\frac{\sqrt{15}\sqrt{6}}{4\times 6}+\frac{\sqrt{30}}{6}\times \frac{1}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{30}}{6} ni \frac{1}{4} ga ko‘paytiring.

$$\frac{\sqrt{15}\sqrt{6}}{4\times 6}+\frac{\sqrt{30}}{6\times 4}$$

\frac{\sqrt{15}\sqrt{6}}{4\times 6} va \frac{\sqrt{30}}{6\times 4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\sqrt{15}\sqrt{6}+\sqrt{30}}{4\times 6}$$

\sqrt{15}\sqrt{6}+\sqrt{30} ichidagi ko‘paytirishlarni bajaring.

$$\frac{3\sqrt{10}+\sqrt{30}}{4\times 6}$$

4\times 6 ni kengaytirish.

$$\frac{3\sqrt{10}+\sqrt{30}}{24}$$

Omil

$$\frac{\sqrt{30} + 3 \sqrt{10}}{24} = 0,6235024398148666$$