What is sqrt(3(\sqrt{3)-1)^2} ?

The solution to sqrt(3(\sqrt{3)-1)^2} is 3-sqrt(3)

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Popular >

simplify sqrt(3(\sqrt{3)-1)^2}

simplify

3 (3 - 1)^{2}

3 - 3

Decimal

1.26794 \dots

Solution steps

3 (3 - 1)^{2}

Apply radical rule:

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

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

= 3 (3 - 1)^{2}

Apply radical rule:

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

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

= 3 (3 - 1)

Apply the distributive law:

a (b - c) = ab - a c

3 (3 - 1) = 33 - 3 \cdot 1

= 33 - 3 \cdot 1

33 = 3

- 3 \cdot 1 = - 3

= 3 - 3

- 1 \times (- 2)

- 3 \cdot (- 3)

\frac{6 ^{4} 7 ^{2}}{6 ^{3} 7 ^{3}}

5354 - 3316

- 5 \times (- 5)

What is sqrt(3(\sqrt{3)-1)^2} ?
The solution to sqrt(3(\sqrt{3)-1)^2} is 3-sqrt(3)