sqrt{(48/10)^2+(7/10)^2} eching

$$\sqrt { ( \frac { 48 } { 10 } ) ^ { 2 } + ( \frac { 7 } { 10 } ) ^ { 2 } }$$

Baholash

$$\frac{\sqrt{2353}}{10}\approx 4,850773134$$

Yechim qadamlari

\frac{48}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\left(\frac{24}{5}\right)^{2}+\left(\frac{7}{10}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{24}{5} ga hisoblang va \frac{576}{25} ni qiymatni oling.

$$\sqrt{\frac{576}{25}+\left(\frac{7}{10}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{7}{10} ga hisoblang va \frac{49}{100} ni qiymatni oling.

$$\sqrt{\frac{576}{25}+\frac{49}{100}}$$

\frac{2353}{100} olish uchun \frac{576}{25} va \frac{49}{100}'ni qo'shing.

$$\sqrt{\frac{2353}{100}}$$

\sqrt{\frac{2353}{100}} boʻlinmasining kvadrat ildizini \frac{\sqrt{2353}}{\sqrt{100}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{2353}}{\sqrt{100}}$$

100 ning kvadrat ildizini hisoblab, 10 natijaga ega bo‘ling.

$$\frac{\sqrt{2353}}{10}$$