1divsqrt{1-299^2div300^2} eching

$$1 \div \sqrt{ 1- { 299 }^{ 2 } \div { 300 }^{ 2 } }$$

Baholash

$$\frac{300\sqrt{599}}{599}\approx 12,257667697$$

Yechim qadamlari

2 daraja ko‘rsatkichini 299 ga hisoblang va 89401 ni qiymatni oling.

$$\frac{1}{\sqrt{1-\frac{89401}{300^{2}}}}$$

2 daraja ko‘rsatkichini 300 ga hisoblang va 90000 ni qiymatni oling.

$$\frac{1}{\sqrt{1-\frac{89401}{90000}}}$$

1 ni \frac{90000}{90000} kasrga o‘giring.

$$\frac{1}{\sqrt{\frac{90000}{90000}-\frac{89401}{90000}}}$$

\frac{90000}{90000} va \frac{89401}{90000} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{\sqrt{\frac{90000-89401}{90000}}}$$

599 olish uchun 90000 dan 89401 ni ayirish.

$$\frac{1}{\sqrt{\frac{599}{90000}}}$$

\sqrt{\frac{599}{90000}} boʻlinmasining kvadrat ildizini \frac{\sqrt{599}}{\sqrt{90000}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{1}{\frac{\sqrt{599}}{\sqrt{90000}}}$$

90000 ning kvadrat ildizini hisoblab, 300 natijaga ega bo‘ling.

$$\frac{1}{\frac{\sqrt{599}}{300}}$$

1 ni \frac{\sqrt{599}}{300} ga bo'lish 1 ga k'paytirish \frac{\sqrt{599}}{300} ga qaytarish.

$$\frac{300}{\sqrt{599}}$$

\frac{300}{\sqrt{599}} maxrajini \sqrt{599} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{300\sqrt{599}}{\left(\sqrt{599}\right)^{2}}$$

\sqrt{599} kvadrati – 599.

$$\frac{300\sqrt{599}}{599}$$