sqrt{(1300*10^6)/8*3986*10^14}6378137 eching

$$\sqrt { \frac { ( 1300 \times 10 ^ { 6 } ) } { 8 \times 3986 \times 10 ^ { 14 } } } 6378137$$

Baholash

$$\frac{6378137\sqrt{25909}}{7972000}\approx 128,781025456$$

Yechim qadamlari

Surat va maxrajdagi ikkala 4\times 10^{6} ni qisqartiring.

$$6378137\sqrt{\frac{325}{2\times 3986\times 10^{8}}}$$

7972 hosil qilish uchun 2 va 3986 ni ko'paytirish.

$$6378137\sqrt{\frac{325}{7972\times 10^{8}}}$$

8 daraja ko‘rsatkichini 10 ga hisoblang va 100000000 ni qiymatni oling.

$$6378137\sqrt{\frac{325}{7972\times 100000000}}$$

797200000000 hosil qilish uchun 7972 va 100000000 ni ko'paytirish.

$$6378137\sqrt{\frac{325}{797200000000}}$$

\frac{325}{797200000000} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6378137\sqrt{\frac{13}{31888000000}}$$

\sqrt{\frac{13}{31888000000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{13}}{\sqrt{31888000000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$6378137\times \frac{\sqrt{13}}{\sqrt{31888000000}}$$

Faktor: 31888000000=4000^{2}\times 1993. \sqrt{4000^{2}\times 1993} koʻpaytmasining kvadrat ildizini \sqrt{4000^{2}}\sqrt{1993} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 4000^{2} ning kvadrat ildizini chiqarish.

$$6378137\times \frac{\sqrt{13}}{4000\sqrt{1993}}$$

\frac{\sqrt{13}}{4000\sqrt{1993}} maxrajini \sqrt{1993} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\left(\sqrt{1993}\right)^{2}}$$

\sqrt{1993} kvadrati – 1993.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\times 1993}$$

\sqrt{13} va \sqrt{1993} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$6378137\times \frac{\sqrt{25909}}{4000\times 1993}$$

7972000 hosil qilish uchun 4000 va 1993 ni ko'paytirish.

$$6378137\times \frac{\sqrt{25909}}{7972000}$$

6378137\times \frac{\sqrt{25909}}{7972000} ni yagona kasrga aylantiring.

$$\frac{6378137\sqrt{25909}}{7972000}$$