Question

simplify : 5√3 + 8√3

Answer 1

13_/3........is ur ans..........

Answer 2

Answer:

Required value is 3√13

Step-by-step explanation:

Given,

$5 \sqrt{3} + 8 \sqrt{3}$

This is a problem of Power of indices Algebra.

We are taking common √3,

$\sqrt{3} (5 + 8)$

We are adding 5 and 8,

$\sqrt{3} \times 13$

So,

$5 \sqrt{3} + 8 \sqrt{3} = 3 \sqrt{13}$

Required value after simplication 3√13.

Here applied formula,

$a \sqrt{x} + b \sqrt{x} = (a + b) \sqrt{x}$

Some important formula of Power of indices:

${x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}$