What is sqrt(12)*(-1+sqrt(5)) ?

The solution to sqrt(12)*(-1+sqrt(5)) is 2sqrt(3)(-1+sqrt(5))

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simplify sqrt(12)*(-1+sqrt(5))

simplify

12 \cdot (- 1 + 5)

23 (- 1 + 5)

Decimal Notation

4.28186 \dots

Solution steps

12 (- 1 + 5)

Prime factorization of

12 : 2^{2} \cdot 3

= 2^{2} \cdot 3 (- 1 + 5)

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3 = 2^{2} 3

= 2^{2} 3 (- 1 + 5)

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 23 (- 1 + 5)

csc (x) cos (x)

\frac{9 y + 3 x}{2} - \frac{9 y - 3 x}{2}

\frac{x ^{2} - x - 6}{x ^{2} + 2 x} \cdot \frac{x ^{3} + x ^{2}}{x ^{2} - 2 x - 3}

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

48 - 23

What is sqrt(12)*(-1+sqrt(5)) ?
The solution to sqrt(12)*(-1+sqrt(5)) is 2sqrt(3)(-1+sqrt(5))