sqrt{1-(3/8)^2} eching

$$\sqrt { 1 - ( \frac { 3 } { 8 } ) ^ { 2 } }$$

Baholash

$$\frac{\sqrt{55}}{8}\approx 0,927024811$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{3}{8} ga hisoblang va \frac{9}{64} ni qiymatni oling.

$$\sqrt{1-\frac{9}{64}}$$

1 ni \frac{64}{64} kasrga o‘giring.

$$\sqrt{\frac{64}{64}-\frac{9}{64}}$$

\frac{64}{64} va \frac{9}{64} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\sqrt{\frac{64-9}{64}}$$

55 olish uchun 64 dan 9 ni ayirish.

$$\sqrt{\frac{55}{64}}$$

\sqrt{\frac{55}{64}} boʻlinmasining kvadrat ildizini \frac{\sqrt{55}}{\sqrt{64}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{55}}{\sqrt{64}}$$

64 ning kvadrat ildizini hisoblab, 8 natijaga ega bo‘ling.

$$\frac{\sqrt{55}}{8}$$