Question

simplify 8 root 3 minus 2 root 3 + 4 root 3

Answer 1

$\textbf{\huge{ANSWER:}}$

$\sf{Given:}$

$8\sqrt3 - 2\sqrt3 + 4\sqrt3$

We have $\sqrt3$ in every number. Thus, we can jus do the addition and subtraction of the given numbers.

Doing the same, we get:

$8\sqrt3 - 2\sqrt3 + 4\sqrt3$

=》 $6\sqrt3 + 4\sqrt3$

=》 $10\sqrt3$

Now, we can also put the value of $\sqrt3$ in this answer.

=》 $10\sqrt3 = 17.32$

Hope it Helps!! :)

Answer 2

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Given =>

$\sf{8 \sqrt{3} - 2 \sqrt{3} + 4 \sqrt{3}}$

Taking out √3 common ,

$\sf{ = \sqrt{3} (8 - 2 + 4)}$

$\sf{ = \sqrt{3} (8 + 2)}$

$\sf{ = \sqrt{3} \times 10}$

$\sf{= 10 \sqrt{3}}$

Thus,
We know that ,

√3 = 1.73 [ Approx.]

Therefore,
10 √3 = 10 × 1.73

= 17.3

The answer to the question is 17.3



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Thanks!!