sqrt{{left(-60sqrt{3+1}right)}^2+60^2} eching

$$\sqrt{ { \left(-60 \sqrt{ 3+1 } \right) }^{ 2 } + { 60 }^{ 2 } }$$

Baholash

$$60\sqrt{5}\approx 134,16407865$$

Yechim qadamlari

4 olish uchun 3 va 1'ni qo'shing.

$$\sqrt{\left(-60\sqrt{4}\right)^{2}+60^{2}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\sqrt{\left(-60\times 2\right)^{2}+60^{2}}$$

-120 hosil qilish uchun -60 va 2 ni ko'paytirish.

$$\sqrt{\left(-120\right)^{2}+60^{2}}$$

2 daraja ko‘rsatkichini -120 ga hisoblang va 14400 ni qiymatni oling.

$$\sqrt{14400+60^{2}}$$

2 daraja ko‘rsatkichini 60 ga hisoblang va 3600 ni qiymatni oling.

$$\sqrt{14400+3600}$$

18000 olish uchun 14400 va 3600'ni qo'shing.

$$\sqrt{18000}$$

Faktor: 18000=60^{2}\times 5. \sqrt{60^{2}\times 5} koʻpaytmasining kvadrat ildizini \sqrt{60^{2}}\sqrt{5} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 60^{2} ning kvadrat ildizini chiqarish.

$$60\sqrt{5}$$