What is sqrt(15)(2sqrt(10)-4sqrt(6)) ?

The solution to sqrt(15)(2sqrt(10)-4sqrt(6)) is 10sqrt(6)-12sqrt(10)

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simplify sqrt(15)(2sqrt(10)-4sqrt(6))

simplify

15 (210 - 46)

106 - 1210

Decimal Notation

- 13.45243 \dots

Solution steps

15 (210 - 46)

Apply the distributive law:

a (b - c) = ab - a c

a = 15, b = 210, c = 46

= 15 \cdot 210 - 15 \cdot 46

= 21510 - 4156

Simplify

21510 - 4156 : 106 - 1210

= 106 - 1210

2 (\frac{4}{3})

n + \frac{n}{2} + \frac{3 n}{4} + \frac{4 n}{5} - \frac{n}{20}

\frac{1}{4} \cdot \frac{3}{2}

5 \frac{2}{7}

10 2^{4} - 3^{6}

What is sqrt(15)(2sqrt(10)-4sqrt(6)) ?
The solution to sqrt(15)(2sqrt(10)-4sqrt(6)) is 10sqrt(6)-12sqrt(10)