Question 1

Добар дан и срећан рад!   Ј.М.  
Прво питање: $\sqrt{32}=$

Accepted Answer

$4\sqrt{2}$

Answer

$2\sqrt{8}$

Answer

$8\sqrt{2}$

Question 2

$\sqrt{10x^{2}}=$

Accepted Answer

$\left| x \right| \sqrt{10}$

Answer

$2x  \sqrt{5}$

Answer

$x  \sqrt{10}$

Question 3

$\sqrt{27b^{8}}=$

Accepted Answer

$3b^{4}\sqrt{3}$

Answer

$\left| 3b\right| \sqrt{3}$

Answer

$$9b^{4}\sqrt{3}$$

Question 4

$\frac{1}{4}\sqrt{48}=$

Accepted Answer

$\sqrt{3}$

Answer

$\frac{\sqrt{3}}{4}$

Answer

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

Question 5

$\sqrt[3]{40}+\sqrt{2}-\sqrt[3]{5}+\sqrt{128}=$

Accepted Answer

$\sqrt[3]{5}+9\sqrt{2}$

Answer

$3\sqrt[3]{5}+8\sqrt{2}$

Answer

$2\sqrt[3]{5}+3\sqrt{2}$

Question 6

$\sqrt{2} \;  \; \sqrt[3]{2} \;  \; \sqrt[6]{2}=$

Accepted Answer

$2$

Answer

$\sqrt[24]{2}$

Answer

$\sqrt[3]{2}$

Question 7

$\sqrt[3]{\sqrt{\sqrt[4]{x}}} \; : \; \sqrt[6]{\sqrt[4]{x}}$

Accepted Answer

$1$

Answer

$\sqrt[24]{x}$

Answer

$x$

Question 8

$\sqrt{xy} \; \sqrt{x \; \sqrt[3]{\frac{1}{y}}} \; \sqrt{y \; \sqrt[3]{\frac{1}{x}}} =$

Accepted Answer

$\sqrt[6]{x^{5}y^{5}}$

Answer

$\sqrt[6]{x^{5}y^{3}}$

Answer

$\sqrt[6]{x^{3}y^{5}}$

Question 9

$\sqrt{\frac{a}{b} \; \sqrt[3]{\frac{x}{y}}}  \; \; \;  \sqrt[3]{\frac{y}{x} \; \sqrt{\frac{b}{a}}} \; : \; \sqrt{\frac{x}{y}\sqrt{\frac{a}{b}}}=$

Accepted Answer

$\sqrt[12]{\frac{a}{b}} \;  \; \sqrt[3]{\frac{y^{2}}{x^{2}}}$

Answer

$\sqrt[3]{\frac{a}{b}} \;  \; \sqrt[12]{\frac{y^{2}}{x^{2}}}$

Answer

$\sqrt[4]{\frac{a}{b}} \;  \; \sqrt[3]{\frac{y^{2}}{x^{2}}}$

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