(5√2) squared: I know the answer is 50. But how do you arrive at this answer?

2016-03-01 11:28 pm

回答 (4)

2016-03-01 11:30 pm
✔ 最佳答案
(5√2) squared=(5 squared)(√2 squared) = ...
2016-03-01 11:30 pm
Original expression:
(5√2)²

Distribute the square:
5² (√2)²
25 * 2
50
2016-03-01 11:30 pm
(5 x √2) squared
= 5 x√2 x 5 x√2
= 5 x 5 x √2 x √2 <---- because multiplication is commutative, i.e. you can change the order
= 25 x 2
= 50
2016-03-01 11:30 pm
It's the same as saying 5 squared * sqrt2 squared
5^2 is 25 and sqrt2^2 is 2
25*2 is 50


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