Question

What is the value of x in 3 root x = 9 ?​

Answer 1

Step-by-step explanation:

Given that:-

3 √x=9

=>√x =9/3

=>√x=3

Squaring on both sides then

=>(√x)²=3²

=>x=9

The value of x is 9

Check:-

LHS:-

3√9

=>3×3

=9

=>RHS

LHS=RHS is true for x=9

Answer 2

The value of x = 729

Given :

$\displaystyle \sf{ \sqrt[3]{x} = 9}$

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

$\displaystyle \sf{ \sqrt[3]{x} = 9}$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ \sqrt[3]{x} = 9}$

$\displaystyle \sf{ \implies {x}^{ \frac{1}{3} } = 9}$

$\displaystyle \sf{ \implies x = {9}^{3} }$

$\displaystyle \sf{ \implies x =9 \times 9 \times 9}$

$\displaystyle \sf{ \implies x =729}$

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