sqrt{19/16}-sqrt{144}+sqrt{49} eching

$$\sqrt { 1 \frac { 9 } { 16 } } - \sqrt { 144 } + \sqrt { 49 }$$

Baholash

$$-\frac{15}{4}=-3,75$$

Yechim qadamlari

16 hosil qilish uchun 1 va 16 ni ko'paytirish.

$$\sqrt{\frac{16+9}{16}}-\sqrt{144}+\sqrt{49}$$

25 olish uchun 16 va 9'ni qo'shing.

$$\sqrt{\frac{25}{16}}-\sqrt{144}+\sqrt{49}$$

\frac{25}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{5}{4}-\sqrt{144}+\sqrt{49}$$

144 ning kvadrat ildizini hisoblab, 12 natijaga ega bo‘ling.

$$\frac{5}{4}-12+\sqrt{49}$$

12 ni \frac{48}{4} kasrga o‘giring.

$$\frac{5}{4}-\frac{48}{4}+\sqrt{49}$$

\frac{5}{4} va \frac{48}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5-48}{4}+\sqrt{49}$$

-43 olish uchun 5 dan 48 ni ayirish.

$$-\frac{43}{4}+\sqrt{49}$$

49 ning kvadrat ildizini hisoblab, 7 natijaga ega bo‘ling.

$$-\frac{43}{4}+7$$

7 ni \frac{28}{4} kasrga o‘giring.

$$-\frac{43}{4}+\frac{28}{4}$$

-\frac{43}{4} va \frac{28}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-43+28}{4}$$

-15 olish uchun -43 va 28'ni qo'shing.

$$-\frac{15}{4}$$

Omil

$$-\frac{15}{4} = -3\frac{3}{4} = -3,75$$