711-196*34^2/sqrt{46224} eching

$$711 - 196 \times \frac { 34 ^ { 2 } } { \sqrt { 46224 } }$$

Baholash

$$-\frac{56644\sqrt{321}}{963}+711\approx -342,853259697$$

Qisqa yechim qadamlari

2 daraja ko‘rsatkichini 34 ga hisoblang va 1156 ni qiymatni oling.

$$711-196\times \frac{1156}{\sqrt{46224}}$$

Faktor: 46224=12^{2}\times 321. \sqrt{12^{2}\times 321} koʻpaytmasining kvadrat ildizini \sqrt{12^{2}}\sqrt{321} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 12^{2} ning kvadrat ildizini chiqarish.

$$711-196\times \frac{1156}{12\sqrt{321}}$$

\frac{1156}{12\sqrt{321}} maxrajini \sqrt{321} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$711-196\times \frac{1156\sqrt{321}}{12\left(\sqrt{321}\right)^{2}}$$

\sqrt{321} kvadrati – 321.

$$711-196\times \frac{1156\sqrt{321}}{12\times 321}$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

$$711-196\times \frac{289\sqrt{321}}{3\times 321}$$

963 hosil qilish uchun 3 va 321 ni ko'paytirish.

$$711-196\times \frac{289\sqrt{321}}{963}$$

196\times \frac{289\sqrt{321}}{963} ni yagona kasrga aylantiring.

$$711-\frac{196\times 289\sqrt{321}}{963}$$

56644 hosil qilish uchun 196 va 289 ni ko'paytirish.

$$711-\frac{56644\sqrt{321}}{963}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 711 ni \frac{963}{963} marotabaga ko'paytirish.

$$\frac{711\times 963}{963}-\frac{56644\sqrt{321}}{963}$$

\frac{711\times 963}{963} va \frac{56644\sqrt{321}}{963} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{711\times 963-56644\sqrt{321}}{963}$$

711\times 963-56644\sqrt{321} ichidagi ko‘paytirishlarni bajaring.

$$\frac{684693-56644\sqrt{321}}{963}$$