1003099410 Level: BThe value of the multiplicative inverse of \( \left[ 2^{-2}+\left( \frac16 \right)^{-1} \right]^{\frac12} \) is:\( \frac25 \)\( \frac12+\sqrt6 \)\( \frac4{25} \)\( \frac52 \)
1003099409 Level: BSimplifying \( \left( \frac1{\left( \sqrt[3]{729}+\sqrt[4]{256}+2 \right)^0} \right)^{-2} \) we get:\( 1 \)\( \frac1{15} \)\( \frac1{225} \)\( 15 \)
1003099408 Level: BThe value of the expression \( \frac12\cdot\left[\frac{5\cdot\left(0.2+\frac35\right)^2}{3.2}\right]+\frac13 \) is:\( \frac56 \)\( \frac32 \)\( \frac43 \)\( \frac52 \)
1003099510 Level: BWhat is the value of \( \sqrt[4]{2\sqrt2}\sqrt[8]{32} \)?\( 2 \)\( 2^{\frac12} \)\( 2^{\frac34} \)\( 2^0 \)
1003099509 Level: AGiven the numbers \( x = 4+2\sqrt5 \) and \( y=6-2\sqrt5 \), the fraction \( \frac xy \) can be written in the form:\( \frac{11+5\sqrt5}4 \)\( \frac{7\sqrt5-9}4 \)\( \frac{-5\sqrt5}2 \)\( 8\sqrt5 \)
1003099508 Level: AEvaluate the expression \( \frac{2-x}{x-2} \) for \( x=2-\sqrt2 \).\( -1 \)\( \sqrt2 - 2 \)\( 2 - \sqrt2 \)\( 1 \)
1003099507 Level: BThe multiplicative inverse of \( \frac2{\sqrt3-1} \) is:\( \frac1{\sqrt3+1} \)\( \frac2{\sqrt3+1} \)\( \frac{-2}{\sqrt3-1} \)\( \frac{1-\sqrt3}2 \)
1003099506 Level: BThe additive inverse of \( \frac1{5-2\sqrt5} \) is:\( \frac{-5-2\sqrt5}5 \)\( \frac{-1}{2\sqrt5-5} \)\( \frac{-1}{2\sqrt5+5} \)\( 5-2\sqrt5 \)
1003099505 Level: ARewrite \( \frac{2-\sqrt3}{2+\sqrt3} \) by rationalizing the denominator.\( 7-4\sqrt3 \)\( \left(2-\sqrt3\right)\left(2+\sqrt3\right) \)\( \frac{7-4\sqrt3}5 \)\( \frac{7-4\sqrt3}7 \)
1003099504 Level: ARationalizing the denominator \( \frac1{\sqrt5+\sqrt7} \) we get:\( \frac{\sqrt7-\sqrt5}2 \)\( \frac{\sqrt5+\sqrt7}2 \)\( \frac{\sqrt5-\sqrt7}2 \)\( \frac{-\sqrt7-\sqrt5}2 \)