化简 sqrt(5)*sqrt(50)

解答

化简

5 \cdot 50

510

十进制

15.81138 \dots

求解步骤

550

50 = 2 \cdot 5

= 52 \cdot 5

使用根式运算法则:

a b = ab, a \geq 0, b \geq 0

52 = 5 \cdot 2

= 5 \cdot 2 \cdot 5

数字相乘:

5 \cdot 2 = 10

= 10 \cdot 5

= 510

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