Question

5 questions for 20 points and marked brainliest!

1.) Simplify 3√12 * √6
A.) 3√72
B.) 6√6
C.) 18√2
D.) Cannot be simplified

2.) 10√10 * 10√10
A.) √100
B.) Cannot be simplified
C.) 10
D.) √20

3.) √6 * √2
A.) Cannot be simplified
B.) 2√2
C.) √8
D.) 2√3

4.) √30 over √15
A.) √1/2
B.) √2
C.) Cannot be simplified
D.) 2

5.) 3 1/2 is equivalent to 4√9
A.) True
B.) False

Answer 1

$\red{\mathcal{\underline{\bold{\huge{\star\:Hey\: mate\:\star}}}}}$


$1) \: \: 3 \sqrt{12} \times \sqrt{6} \\ \\ 3 \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 3} \\ \\ 6 \sqrt{3} \times \sqrt{6} \\ \\ 6 \sqrt{18} \\ \\6 \sqrt{3 \times 3 \times 2} \\ \\ \therefore 18 \sqrt{2}$

$2) \: \: 10 \sqrt{10} \times 10 \sqrt{10} \\ \\ 100 \times 10 \\ \\ 1000$

$3) \: \: \sqrt{6} \times \sqrt{2} \\ \\ \sqrt{2 \times 3 \times 2} \\ \\ \therefore 2 \sqrt{3}$

$4) \: \: \frac{ \sqrt{30} }{ \sqrt{15} } \\ \\ \frac{\sqrt{2 \times 3 \times 5} }{ \sqrt{3 \times 5} }$
$\\ \\ 5) \: \: 3 \frac{1}{2} = 4 \sqrt{9} \\ \\ \frac{7}{2} = 4 \times 3 \\ \\ \frac{7}{2} = 12 \\ \\ \therefore \: false$


Thanks for the question!

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