sqrt{2*6673*10^-11*4*6*10^24/6400+35780} eching

$$\sqrt { \frac { 2 \times 6673 \times 10 ^ { - 11 } \times 4 \times 6 \times 10 ^ { 24 } } { 6400 + 35780 } }$$

Baholash

$$\frac{2000000\sqrt{9382238}}{703}\approx 8714207,427833345$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -11 va 24 ni qo‘shib, 13 ni oling.

$$\sqrt{\frac{2\times 6673\times 10^{13}\times 4\times 6}{6400+35780}}$$

13346 hosil qilish uchun 2 va 6673 ni ko'paytirish.

$$\sqrt{\frac{13346\times 10^{13}\times 4\times 6}{6400+35780}}$$

13 daraja ko‘rsatkichini 10 ga hisoblang va 10000000000000 ni qiymatni oling.

$$\sqrt{\frac{13346\times 10000000000000\times 4\times 6}{6400+35780}}$$

133460000000000000 hosil qilish uchun 13346 va 10000000000000 ni ko'paytirish.

$$\sqrt{\frac{133460000000000000\times 4\times 6}{6400+35780}}$$

533840000000000000 hosil qilish uchun 133460000000000000 va 4 ni ko'paytirish.

$$\sqrt{\frac{533840000000000000\times 6}{6400+35780}}$$

3203040000000000000 hosil qilish uchun 533840000000000000 va 6 ni ko'paytirish.

$$\sqrt{\frac{3203040000000000000}{6400+35780}}$$

42180 olish uchun 6400 va 35780'ni qo'shing.

$$\sqrt{\frac{3203040000000000000}{42180}}$$

\frac{3203040000000000000}{42180} ulushini 60 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\frac{53384000000000000}{703}}$$

\sqrt{\frac{53384000000000000}{703}} boʻlinmasining kvadrat ildizini \frac{\sqrt{53384000000000000}}{\sqrt{703}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{53384000000000000}}{\sqrt{703}}$$

Faktor: 53384000000000000=2000000^{2}\times 13346. \sqrt{2000000^{2}\times 13346} koʻpaytmasining kvadrat ildizini \sqrt{2000000^{2}}\sqrt{13346} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2000000^{2} ning kvadrat ildizini chiqarish.

$$\frac{2000000\sqrt{13346}}{\sqrt{703}}$$

\frac{2000000\sqrt{13346}}{\sqrt{703}} maxrajini \sqrt{703} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{\left(\sqrt{703}\right)^{2}}$$

\sqrt{703} kvadrati – 703.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{703}$$

\sqrt{13346} va \sqrt{703} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{2000000\sqrt{9382238}}{703}$$