What is sqrt(2)(sqrt(10)-sqrt(3)) ?

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

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simplify sqrt(2)(sqrt(10)-sqrt(3))

simplify

2 (10 - 3)

25 - 6

Decimal Notation

2.02264 \dots

Solution steps

2 (10 - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = 2, b = 10, c = 3

= 210 - 23

Simplify

210 - 23 : 25 - 6

= 25 - 6

9 z^{2} - 30 z + 25

(- 3 + 6 i) (- 3 - 6 i)

- \frac{1}{4} \div \frac{10}{9}

\frac{60}{68}

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

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