What is sqrt(50)*sqrt(20) ?

The solution to sqrt(50)*sqrt(20) is 10sqrt(10)

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simplify sqrt(50)*sqrt(20)

simplify

50 \cdot 20

1010

Decimal Notation

31.62277 \dots

Solution steps

5020

50 = 2 \cdot 5

= 2 \cdot 520

20 = 25

= 2 \cdot 5 \cdot 25

Apply radical rule:

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

25 = 2 \cdot 5

= 2 \cdot 5 \cdot 5 \cdot 2

Multiply the numbers:

2 \cdot 5 = 10

= 10 \cdot 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10 \cdot 10

= 1010

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