What is expand sqrt(3)(5+sqrt(13)) ?

The solution to expand sqrt(3)(5+sqrt(13)) is 5sqrt(3)+sqrt(39)

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expand sqrt(3)(5+sqrt(13))

expand

3 (5 + 13)

53 + 39

Decimal Notation

14.90525 \dots

Solution steps

3 (5 + 13)

Apply the distributive law:

a (b + c) = ab + a c

3 (5 + 13) = 3 \cdot 5 + 313

= 3 \cdot 5 + 313

3 \cdot 5 + 313 = 53 + 39

= 53 + 39

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What is expand sqrt(3)(5+sqrt(13)) ?
The solution to expand sqrt(3)(5+sqrt(13)) is 5sqrt(3)+sqrt(39)