What is 5(3+sqrt(2)) ?

The solution to 5(3+sqrt(2)) is 15+5sqrt(2)

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simplify 5(3+sqrt(2))

simplify

5 (3 + 2)

15 + 52

Decimal Notation

22.07106 \dots

Solution steps

5 (3 + 2)

Apply the distributive law:

a (b + c) = ab + a c

5 (3 + 2) = 5 \cdot 3 + 52

= 5 \cdot 3 + 52

Multiply the numbers:

5 \cdot 3 = 15

= 15 + 52

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