sqrt{8^2}+sqrt{36}-(sqrt{1}*sqrt{15})+sqrt{8}+8+sqrt{4^2} eching

$$\sqrt { 8 ^ { 2 } } + \sqrt { 36 } - ( \sqrt { 1 } \cdot \sqrt { 15 } ) + \sqrt { 8 } + 8 + \sqrt { 4 ^ { 2 } }$$

Baholash

$$2\sqrt{2}+26-\sqrt{15}\approx 24,955443779$$

Yechim qadamlari

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\sqrt{64}+\sqrt{36}-\sqrt{1}\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

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

$$8+\sqrt{36}-\sqrt{1}\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

36 ning kvadrat ildizini hisoblab, 6 natijaga ega bo‘ling.

$$8+6-\sqrt{1}\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

14 olish uchun 8 va 6'ni qo'shing.

$$14-\sqrt{1}\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

Faktor: 15=1\times 15. \sqrt{1\times 15} koʻpaytmasining kvadrat ildizini \sqrt{1}\sqrt{15} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$14-\sqrt{1}\sqrt{1}\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

1 hosil qilish uchun \sqrt{1} va \sqrt{1} ni ko'paytirish.

$$14-\sqrt{15}+\sqrt{8}+8+\sqrt{4^{2}}$$

Faktor: 8=2^{2}\times 2. \sqrt{2^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$14-\sqrt{15}+2\sqrt{2}+8+\sqrt{4^{2}}$$

22 olish uchun 14 va 8'ni qo'shing.

$$22-\sqrt{15}+2\sqrt{2}+\sqrt{4^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$22-\sqrt{15}+2\sqrt{2}+\sqrt{16}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$22-\sqrt{15}+2\sqrt{2}+4$$

26 olish uchun 22 va 4'ni qo'shing.

$$26-\sqrt{15}+2\sqrt{2}$$