sqrt{sqrt{((-5)*2-1/8)*(-1/2)}} eching

$$\sqrt{ \sqrt{ ((-5) \times 2- \frac{ 1 }{ 8 } ) \times (- \frac{ 1 }{ 2 } ) } }$$

Baholash

$$\frac{3}{2}=1,5$$

Yechim qadamlari

-10 hosil qilish uchun -5 va 2 ni ko'paytirish.

$$\sqrt{\sqrt{\left(-10-\frac{1}{8}\right)\left(-\frac{1}{2}\right)}}$$

-10 ni -\frac{80}{8} kasrga o‘giring.

$$\sqrt{\sqrt{\left(-\frac{80}{8}-\frac{1}{8}\right)\left(-\frac{1}{2}\right)}}$$

-\frac{80}{8} va \frac{1}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\sqrt{\sqrt{\frac{-80-1}{8}\left(-\frac{1}{2}\right)}}$$

-81 olish uchun -80 dan 1 ni ayirish.

$$\sqrt{\sqrt{-\frac{81}{8}\left(-\frac{1}{2}\right)}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{81}{8} ni -\frac{1}{2} ga ko‘paytiring.

$$\sqrt{\sqrt{\frac{-81\left(-1\right)}{8\times 2}}}$$

\frac{-81\left(-1\right)}{8\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\sqrt{\sqrt{\frac{81}{16}}}$$

\frac{81}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{81}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\sqrt{\frac{9}{4}}$$

\frac{9}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{9}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{3}{2}$$

Omil

$$\frac{3}{2} = 1\frac{1}{2} = 1,5$$