Question

evaluate each radical expression for a = 9 and b = 4. drag the tiles to the correct boxes. not all tiles will be used. pairs 2√a 2(ab)^(1/2) (3a)^(1/3) ∛(2b) tiles 2 9 3 12 36 6

Explanation:

Step1: Substitute $a=9$ into $2\sqrt{a}$

$2\sqrt{9} = 2\times3 = 6$

Step2: Substitute $a=9,b=4$ into $2(ab)^{\frac{1}{2}}$

$2\times(9\times4)^{\frac{1}{2}} = 2\times\sqrt{36} = 2\times6 = 12$

Step3: Substitute $a=9$ into $(3a)^{\frac{1}{3}}$

$(3\times9)^{\frac{1}{3}} = \sqrt[3]{27} = 3$

Step4: Substitute $b=4$ into $\sqrt[3]{2b}$

$\sqrt[3]{2\times4} = \sqrt[3]{8} = 2$

Answer:

$2\sqrt{a}
ightarrow 6$
$2(ab)^{\frac{1}{2}}
ightarrow 12$
$(3a)^{\frac{1}{3}}
ightarrow 3$
$\sqrt[3]{2b}
ightarrow 2$