sqrt[3]{27}-4sqrt{64}+3sqrt[4]{625}+5sqrt{25}-9sqrt{273} eching

$$\sqrt[ 3 ] { 27 } - 4 \sqrt { 64 } + 3 \sqrt[ 4 ] { 625 } + 5 \sqrt { 25 } - 9 \sqrt { 273 }$$

Baholash

$$11-9\sqrt{273}\approx -137,704404777$$

Yechim qadamlari

\sqrt[3]{27} ni hisoblab, 3 natijasiga ega bo‘ling.

$$3-4\sqrt{64}+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{273}$$

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

$$3-4\times 8+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{273}$$

-32 hosil qilish uchun -4 va 8 ni ko'paytirish.

$$3-32+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{273}$$

-29 olish uchun 3 dan 32 ni ayirish.

$$-29+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{273}$$

\sqrt[4]{625} ni hisoblab, 5 natijasiga ega bo‘ling.

$$-29+3\times 5+5\sqrt{25}-9\sqrt{273}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$-29+15+5\sqrt{25}-9\sqrt{273}$$

-14 olish uchun -29 va 15'ni qo'shing.

$$-14+5\sqrt{25}-9\sqrt{273}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$-14+5\times 5-9\sqrt{273}$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$-14+25-9\sqrt{273}$$

11 olish uchun -14 va 25'ni qo'shing.

$$11-9\sqrt{273}$$