Issolvi x^256sqrt{29/sqrt{37}}

$${ x }^{ 2 } 56 \sqrt{ \frac{ 29 }{ \sqrt{ 37 } } }$$

Evalwa

$$\frac{56\sqrt{29}\times 37^{\frac{3}{4}}x^{2}}{37}$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{29}{\sqrt{37}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{37}.

$$56x^{2}\sqrt{\frac{29\sqrt{37}}{\left(\sqrt{37}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{37} huwa 37.

$$56x^{2}\sqrt{\frac{29\sqrt{37}}{37}}$$

Iddifferenzja w.r.t. x

$$\frac{112\sqrt{29}\times 37^{\frac{3}{4}}x}{37}$$