sqrt{667*10^-11*199*10^30/648*10^10} eching

$$\sqrt { \frac { 667 \times 10 ^ { - 11 } \times 199 \times 10 ^ { 30 } } { 648 \times 10 ^ { 10 } } }$$

Baholash

$$\frac{5000\sqrt{663665}}{9}\approx 452586,871819334$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -11 va 30 ni qo‘shib, 19 ni oling.

$$\sqrt{\frac{667\times 10^{19}\times 199}{648\times 10^{10}}}$$

Surat va maxrajdagi ikkala 10^{10} ni qisqartiring.

$$\sqrt{\frac{199\times 667\times 10^{9}}{648}}$$

132733 hosil qilish uchun 199 va 667 ni ko'paytirish.

$$\sqrt{\frac{132733\times 10^{9}}{648}}$$

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$\sqrt{\frac{132733\times 1000000000}{648}}$$

132733000000000 hosil qilish uchun 132733 va 1000000000 ni ko'paytirish.

$$\sqrt{\frac{132733000000000}{648}}$$

\frac{132733000000000}{648} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\frac{16591625000000}{81}}$$

\sqrt{\frac{16591625000000}{81}} boʻlinmasining kvadrat ildizini \frac{\sqrt{16591625000000}}{\sqrt{81}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{16591625000000}}{\sqrt{81}}$$

Faktor: 16591625000000=5000^{2}\times 663665. \sqrt{5000^{2}\times 663665} koʻpaytmasining kvadrat ildizini \sqrt{5000^{2}}\sqrt{663665} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 5000^{2} ning kvadrat ildizini chiqarish.

$$\frac{5000\sqrt{663665}}{\sqrt{81}}$$

81 ning kvadrat ildizini hisoblab, 9 natijaga ega bo‘ling.

$$\frac{5000\sqrt{663665}}{9}$$