What is sqrt(2)(sqrt(20)+sqrt(8)) ?

The solution to sqrt(2)(sqrt(20)+sqrt(8)) is 2sqrt(10)+4

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simplify sqrt(2)(sqrt(20)+sqrt(8))

simplify

2 (20 + 8)

210 + 4

Decimal Notation

10.32455 \dots

Solution steps

2 (20 + 8)

20 = 25

8 = 22

= 2 (25 + 22)

Apply the distributive law:

a (b + c) = ab + a c

2 (25 + 22) = 2 \cdot 25 + 2 \cdot 22

= 2 \cdot 25 + 2 \cdot 22

2 \cdot 25 + 2 \cdot 22 = 210 + 4

= 210 + 4

(8 p^{2} - 4) (p - 2)

7 (- 8 f - 2) + 10 (- 5 f + 7)

a^{2} x^{6} - b^{2} y^{4}

(3 x y - 2 x)^{2}

What is sqrt(2)(sqrt(20)+sqrt(8)) ?
The solution to sqrt(2)(sqrt(20)+sqrt(8)) is 2sqrt(10)+4