sqrt{1/7}*sqrt{28}+sqrt{700} eching

$$\sqrt{ \frac{ 1 }{ 7 } } \times \sqrt{ 28 } + \sqrt{ 700 }$$

Baholash

$$10\sqrt{7}+2\approx 28,457513111$$

Qisqa yechim qadamlari

\sqrt{\frac{1}{7}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{7}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{1}}{\sqrt{7}}\sqrt{28}+\sqrt{700}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$\frac{1}{\sqrt{7}}\sqrt{28}+\sqrt{700}$$

\frac{1}{\sqrt{7}} maxrajini \sqrt{7} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\sqrt{28}+\sqrt{700}$$

\sqrt{7} kvadrati – 7.

$$\frac{\sqrt{7}}{7}\sqrt{28}+\sqrt{700}$$

Faktor: 28=2^{2}\times 7. \sqrt{2^{2}\times 7} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{7} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{\sqrt{7}}{7}\times 2\sqrt{7}+\sqrt{700}$$

\frac{\sqrt{7}}{7}\times 2 ni yagona kasrga aylantiring.

$$\frac{\sqrt{7}\times 2}{7}\sqrt{7}+\sqrt{700}$$

\frac{\sqrt{7}\times 2}{7}\sqrt{7} ni yagona kasrga aylantiring.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+\sqrt{700}$$

Faktor: 700=10^{2}\times 7. \sqrt{10^{2}\times 7} koʻpaytmasining kvadrat ildizini \sqrt{10^{2}}\sqrt{7} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 10^{2} ning kvadrat ildizini chiqarish.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+10\sqrt{7}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 10\sqrt{7} ni \frac{7}{7} marotabaga ko'paytirish.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+\frac{7\times 10\sqrt{7}}{7}$$

\frac{\sqrt{7}\times 2\sqrt{7}}{7} va \frac{7\times 10\sqrt{7}}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\sqrt{7}\times 2\sqrt{7}+7\times 10\sqrt{7}}{7}$$

\sqrt{7}\times 2\sqrt{7}+7\times 10\sqrt{7} ichidagi ko‘paytirishlarni bajaring.

$$\frac{14+70\sqrt{7}}{7}$$