What is sqrt(5)(sqrt(10)-sqrt(3)) ?

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

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simplify sqrt(5)(sqrt(10)-sqrt(3))

simplify

5 (10 - 3)

52 - 15

Decimal Notation

3.19808 \dots

Solution steps

5 (10 - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = 5, b = 10, c = 3

= 510 - 53

Simplify

510 - 53 : 52 - 15

= 52 - 15

- 40 (\frac{2 ( 10 b + 23 )}{25}) + 48 b = 17.6

1 x^{2} + 2 x + 1 = 0

2 - x < 3 x + 1 < 10 x

8 y^{3} - 27

r s^{3} - 27 r t^{3} + 3 s^{3} - 81 t^{3}

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