frac{sqrt{48}}{sqrt{64}}*2/sqrt{3}= eching

$$\frac { \sqrt { 48 } } { \sqrt { 64 } } \times \frac { 2 } { \sqrt { 3 } } =$$

Baholash

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Yechim qadamlari

Faktor: 48=4^{2}\times 3. \sqrt{4^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{4^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 4^{2} ning kvadrat ildizini chiqarish.

$$\frac{4\sqrt{3}}{\sqrt{64}}\times \frac{2}{\sqrt{3}}$$

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

$$\frac{4\sqrt{3}}{8}\times \frac{2}{\sqrt{3}}$$

\frac{1}{2}\sqrt{3} ni olish uchun 4\sqrt{3} ni 8 ga bo‘ling.

$$\frac{1}{2}\sqrt{3}\times \frac{2}{\sqrt{3}}$$

\frac{2}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{1}{2}\sqrt{3}\times \frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{1}{2}\sqrt{3}\times \frac{2\sqrt{3}}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{2\sqrt{3}}{3} ga ko‘paytiring.

$$\frac{2\sqrt{3}}{2\times 3}\sqrt{3}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\sqrt{3}}{3}\sqrt{3}$$

\frac{\sqrt{3}}{3}\sqrt{3} ni yagona kasrga aylantiring.

$$\frac{\sqrt{3}\sqrt{3}}{3}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$\frac{3}{3}$$

1 ni olish uchun 3 ni 3 ga bo‘ling.

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Omil

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