What is 3sqrt(16x^4y^4z) ?

The solution to 3sqrt(16x^4y^4z) is 12x^2y^2sqrt(z)

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simplify 3sqrt(16x^4y^4z)

simplify

3 16 x^{4} y^{4} z

12 x^{2} y^{2} z

Solution steps

3 16 x^{4} y^{4} z

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

16 x^{4} y^{4} z = 16 x^{4} y^{4} z

= 316 x^{4} y^{4} z

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{4} y^{4} z = x^{4} y^{4} z

= 316 x^{4} y^{4} z

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

y^{4} z = y^{4} z

= 316 x^{4} y^{4} z

16 = 4

= 3 \cdot 4 x^{4} y^{4} z

Simplify

x^{4} : x^{2}

= 3 \cdot 4 x^{2} y^{4} z

Simplify

y^{4} : y^{2}

= 3 \cdot 4 x^{2} y^{2} z

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{2} y^{2} z

m^{2} - 4 m + 5 = 0

x^{2} - 14 x + 1 = 0

x (a + b) + 3 (a + b)

- \frac{5}{10}

\frac{1}{x} > - \frac{1}{2}