Question

If the cube of a squared number is 729, find the square root of that number

Answer 1

Answer:

x is 3

x^2^3=729

x^6=3^6

x=3

w

w

the n

√3=1.732

Answer 2

The square root of the number the cube of whose square is 729 is 3

Solution:

Let the number be "x"

We are given that cube of squared number is 729

Which means,

$(x^2)^3 = 729$

Raise 1/3 on both sides

$(x^2)^{3 \times \frac{1}{3}} = 729^{\frac{1}{3}}\\\\x^2 = \sqrt[3]{729}\\\\x^2 = \sqrt[3]{9 \times 9 \times 9}\\\\x^2 = 9$

Now we have to find the square root of the number

So taking square root on both sides

$\sqrt{x^2}=\sqrt{9}\\\\x = \sqrt{9}\\\\x = 3$

Thus the square root of the number the cube of whose square is 729 is 3

Learn more about cube numbers

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