What is the answer to (v-8)^{2/3}=2 ?

The answer to (v-8)^{2/3}=2 is v=2*2^{1/2}+8,v=-2*2^{1/2}+8

Solve for v: (v-8)^{2/3}=2

The solution is v=2*2^{1/2}+8,v=-2*2^{1/2}+8

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(v - 8)^{\frac{2}{3}} = 2

v = 2 \cdot 2^{\frac{1}{2}} + 8, v = - 2 \cdot 2^{\frac{1}{2}} + 8

Decimal Notation

v = 10.82842 \dots, v = 5.17157 \dots

Solution steps

(v - 8)^{\frac{2}{3}} = 2

Take both sides of the equation to the power of

3 : (v - 8)^{2} = 8

(v - 8)^{2} = 8

Solve

(v - 8)^{2} = 8 : v = 2 \cdot 2^{\frac{1}{2}} + 8, v = - 2 \cdot 2^{\frac{1}{2}} + 8

v = 2 \cdot 2^{\frac{1}{2}} + 8, v = - 2 \cdot 2^{\frac{1}{2}} + 8

Verify Solutions:

v = 2 \cdot 2^{\frac{1}{2}} + 8

True

, v = - 2 \cdot 2^{\frac{1}{2}} + 8

True

The solutions are

v = 2 \cdot 2^{\frac{1}{2}} + 8, v = - 2 \cdot 2^{\frac{1}{2}} + 8

4 - x^{2} + x^{2} = 0

q = 400 - q

x, y = 18 x

3 4 x - 9 = \frac{5}{6}

What is the answer to (v-8)^{2/3}=2 ?
The answer to (v-8)^{2/3}=2 is v=2*2^{1/2}+8,v=-2*2^{1/2}+8
Solve for v: (v-8)^{2/3}=2
The solution is v=2*2^{1/2}+8,v=-2*2^{1/2}+8