What is \((2 \sqrt{15})^2\)?
Answer (2)
2 1 5 2 = 2 ⋅ 15 = 30 2 1 5 2 = 2 ⋅ ( 1 5 2 ) 2 1 = 2 ⋅ 1 5 2 ⋅ 2 1 = 2 ⋅ 15 = 30
( 2 15 ) 2 = 2 2 ⋅ ( 15 ) 2 = 4 ⋅ 15 = 60 ( 2 15 ) 2 = 2 2 ⋅ ( 15 ) 2 = 4 ⋅ ( 1 5 2 1 ) 2 = 4 ⋅ 1 5 2 1 ⋅ 2 = 4 ⋅ 1 5 1 = 4 ⋅ 15 = 60
The expression \( (2 \sqrt{15})^2 \ e v a l u a t es t o 60. T hi s i s d o n e b ys q u a r in g 2 t o g e t 4 an d s q u a r in g \sqrt{15} \$ to get 15, then multiplying these results together. Thus, the final answer is 60.
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