A number whose square root is twice of its cube root is
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Step-by-step explanation:
Let the number be x
A/q
(x^1/2) = 2 * (x^1/3)
Squaring both sides
(x^1/2)^2 = [2 * (x^1/3)]^2
(x)^(1/2*2) = 2^2 * (x)^(1/3 * 2)
x = 4 * x^2/3
Cubing both sides
x^3 =[4 * x^2/3]^3
x^3 = 4^3 * x^(3*2/3)
x^3 = 64 * x^2
x^3 - 64x^2 = 0
x^2 [ x - 64 ] = 0
x = 0 or 64
Your answer is 0 and 64
cube root of 64 = 4
square root of 64 = 8
4*2=8
for 0 both are 0
0*2=0
Hope it helps :-)
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