What is sqrt(15)(sqrt(5)-2sqrt(6)) ?

The solution to sqrt(15)(sqrt(5)-2sqrt(6)) is 5sqrt(3)-6sqrt(10)

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simplify sqrt(15)(sqrt(5)-2sqrt(6))

simplify

15 (5 - 26)

53 - 610

Decimal Notation

- 10.31341 \dots

Solution steps

15 (5 - 26)

Apply the distributive law:

a (b - c) = ab - a c

a = 15, b = 5, c = 26

= 155 - 15 \cdot 26

= 155 - 2156

Simplify

155 - 2156 : 53 - 610

= 53 - 610

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What is sqrt(15)(sqrt(5)-2sqrt(6)) ?
The solution to sqrt(15)(sqrt(5)-2sqrt(6)) is 5sqrt(3)-6sqrt(10)