What is the answer to (sqrt(2a))^2=\sqrt[3]{a}\times 3a ?

The answer to (sqrt(2a))^2=\sqrt[3]{a}\times 3a is a=0,a= 8/27

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(sqrt(2a))^2=\sqrt[3]{a}\times 3a

(2 a)^{2} = 3 a \cdot 3 a

a = 0, a = \frac{8}{27}

Decimal

a = 0, a = 0.29629 \dots

Solution steps

(2 a)^{2} = 3 a \cdot 3 a

Take both sides of the equation to the power of

3 : 8 a^{3} = 27 a^{4}

8 a^{3} = 27 a^{4}

Solve

8 a^{3} = 27 a^{4} : a = 0, a = \frac{8}{27}

a = 0, a = \frac{8}{27}

Verify Solutions:

a = 0

True

, a = \frac{8}{27}

True

The solutions are

a = 0, a = \frac{8}{27}

a (x) = 3 x - 1

\frac{x}{8} = 3 x

3 x - 3 + 8 = 2

2 x + 31 + x = 2

y, x + y = x^{4}

What is the answer to (sqrt(2a))^2=\sqrt[3]{a}\times 3a ?
The answer to (sqrt(2a))^2=\sqrt[3]{a}\times 3a is a=0,a= 8/27
Solve for a: (sqrt(2a))^2=\sqrt[3]{a}\times 3a
The solution is a=0,a= 8/27