1003099208
Level:
A
Rationalize the denominator of \( \frac{2+\sqrt{2}}{\sqrt 2} \).
\( \sqrt 2 +1 \)
\( 2 \)
\( 2\sqrt2 \)
\( 2\sqrt2 +1 \)
Expressions with exponents and radicals
1003099207
Level:
A
Rationalize the denominator of \( \frac5{\sqrt 2} \).
\( 2.5\sqrt2 \)
\( 2.5 \)
\( \frac54\sqrt 2 \)
\( 5\sqrt2 \)
1003118608
Level:
B
Express the value of the expression \( \left(\frac23-2^{-2}\right)^{-1} \) as a decimal number.
\( 2.4 \)
\( 0.41\overline6\dots\)
\( \frac{12}5 \)
\( -1.\overline3 \)
1003118607
Level:
B
Which of the following numbers are ordered from least to greatest?
\( (0.3)^4 \), \( 0.027 \), \( (0.3)^{\sqrt2} \)
\( 81^{\frac34} \), \( 16^{\frac14} \), \( 7^{-2} \)
\( \left(\frac23 \right)^{1.4} \), \( \left(\frac23 \right)^{\pi} \), \( \left(\frac32 \right)^{-1} \)
\( 7^0 \), \( 7^{-1} \), \( 7^{-2} \)
1003118606
Level:
A
The number \(2^{10}+10\cdot2^9 \) is divisible by:
\( 3 \)
\( 5 \)
\( 10 \)
\( 11 \)
1003118605
Level:
B
If \( \frac{2\cdot\sqrt[3]2}{\sqrt8} = 2^x \), then
\( x=-\frac16 \).
\( x=0 \).
\( x=\frac13 \).
\( x=-4 \).
1003118604
Level:
A
The sum of \( 3^{100}+3^{100}+3^{100} \) equals:
\( 3^{101} \)
\( 3^{103} \)
\( 3^{300} \)
\( 9^{100} \)
1003118603
Level:
B
Select the number that equals \( \sqrt[5]{64} \).
\( 2\sqrt[5]2 \)
\( \frac{\sqrt[5]2}2 \)
\( \sqrt2 \)
\( 2 \)
1003118602
Level:
A
Choose the number equal to \( \sqrt{18}-\sqrt8 \).
\( \sqrt2 \)
\( \sqrt{10} \)
\( 10 \)
\( 5\sqrt2 \)
1003118601
Level:
A
Decide which of the following equations is false.
\( \sqrt5-\sqrt2=\sqrt3 \)
\( \sqrt{15}:\sqrt3=\sqrt5 \)
\( \sqrt5 \cdot \sqrt2 =\sqrt{10} \)
\( \sqrt{\sqrt4}=\sqrt2 \)