sqrt{2*1500*140000/220+7500*7500} eching

$$\sqrt{ \frac{ 2 \times 1500 \times 140000 }{ 220 } +7500 \times 7500 }$$

Baholash

$$\frac{500\sqrt{28149}}{11}\approx 7626,210783154$$

Yechim qadamlari

3000 hosil qilish uchun 2 va 1500 ni ko'paytirish.

$$\sqrt{\frac{3000\times 140000}{220}+7500\times 7500}$$

420000000 hosil qilish uchun 3000 va 140000 ni ko'paytirish.

$$\sqrt{\frac{420000000}{220}+7500\times 7500}$$

\frac{420000000}{220} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\frac{21000000}{11}+7500\times 7500}$$

56250000 hosil qilish uchun 7500 va 7500 ni ko'paytirish.

$$\sqrt{\frac{21000000}{11}[phone]}$$

56250000 ni \frac{618750000}{11} kasrga o‘giring.

$$\sqrt{\frac{21000000}{11}+\frac{618750000}{11}}$$

\frac{21000000}{11} va \frac{618750000}{11} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\sqrt{\frac{21000000+618750000}{11}}$$

639750000 olish uchun 21000000 va 618750000'ni qo'shing.

$$\sqrt{\frac{639750000}{11}}$$

\sqrt{\frac{639750000}{11}} boʻlinmasining kvadrat ildizini \frac{\sqrt{639750000}}{\sqrt{11}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{639750000}}{\sqrt{11}}$$

Faktor: 639750000=500^{2}\times 2559. \sqrt{500^{2}\times 2559} koʻpaytmasining kvadrat ildizini \sqrt{500^{2}}\sqrt{2559} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 500^{2} ning kvadrat ildizini chiqarish.

$$\frac{500\sqrt{2559}}{\sqrt{11}}$$

\frac{500\sqrt{2559}}{\sqrt{11}} maxrajini \sqrt{11} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{500\sqrt{2559}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}$$

\sqrt{11} kvadrati – 11.

$$\frac{500\sqrt{2559}\sqrt{11}}{11}$$

\sqrt{2559} va \sqrt{11} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{500\sqrt{28149}}{11}$$