What is sqrt(10)(sqrt(5)+2) ?

The solution to sqrt(10)(sqrt(5)+2) is 5sqrt(2)+2sqrt(10)

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simplify sqrt(10)(sqrt(5)+2)

simplify

10 (5 + 2)

52 + 210

Decimal Notation

13.39562 \dots

Solution steps

10 (5 + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = 10, b = 5, c = 2

= 105 + 10 \cdot 2

= 105 + 210

105 = 52

= 52 + 210

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What is sqrt(10)(sqrt(5)+2) ?
The solution to sqrt(10)(sqrt(5)+2) is 5sqrt(2)+2sqrt(10)