Question

With the help of some mathematical operations can you write 18 by using four times 4 ?​

Answer 1

To find: a numerical expression for $\mathrm{18}$ operated by mathematical operations using four $\mathrm{4s}$.

Solution.

We must know that, cube root of $\mathrm{8}$ is $\mathrm{2}$.

How?

$\quad\mathrm{\sqrt[3]{8}}$

$=\mathrm{\sqrt[3]{2^{3}}}$

$=\mathrm{(2^{3})^{1/3}}$

$=\mathrm{2^{3/3}}$

$=\mathrm{2}$

$\Rightarrow \mathrm{\sqrt[3]{8}=2\quad.....(1)}$

DMAS is essential here:

$\quad$D = division, M = Multiplication,

$\quad$A = Addition, S = Subtraction

Now,

$\quad \mathrm{4\times 4+\sqrt[3]{4+4}}$

$=\mathrm{4\times 4+\sqrt[3]{8}}$

$=\mathrm{4\times 4+2\quad[by\:(1)]}$

$=\mathrm{16+2\quad[Using\:DMAS]}$

$=\mathrm{18}$

$\Rightarrow \boxed{\quad\mathrm{4\times 4+\sqrt[3]{4+4}=18}\quad}$

This is the required expression.

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Answer 2

Given :  4 times  4

To find : using mathematical operations  to get 18

Solution:

There can be many solution to such problem

4  * √4  * √4   + √4

= 4 * 2 * 2   + 2

= 16 + 2

= 18

or

4  × 4  +  4/√4

= 16 +  4/2

= 16 + 2

= 18

or

4 * 4   +  ∛(4 + 4)

= 16 + ∛8

= 16 + 2

= 18

or

$4^{\sqrt{4} } + \frac{4}{\sqrt{4}}$

= 4²  +  4/2

= 16 + 2

= 18

and can be many more such solutions

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