Question

find the product of
(2+√3)(2_√3)​

Answer 1

Answer:

DUDE HERE YOUR ANSWER

Step-by-step explanation:

USING IDENTIFY (A+B) (A-B)

(2²)-(√3)²

4-3

=1

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Answer 2

Answer:

Required product is 1.

Step-by-step explanation:

Given,

$(2 + \sqrt{3} )(2 - \sqrt{3} )$

We want to find product of given term.

We know product means multiplication.

Now,

$(2 + \sqrt{3} )(2 - \sqrt{3} )$

We know,

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Here

$x = 2 \\ and \: y = \sqrt{3}$

So,

$(2 + \sqrt{3} )(2 - \sqrt{3} ) \\ = {2}^{2} - { \sqrt{3} }^{2} \\ = 4 - 3 \\ = 1$

So, required value is 1.

Here applied formula,

$\sqrt{x} \times \sqrt{x} = { \sqrt{x} }^{2} = x$

This is a problem of Power of indices.

Some important formulas of Power of indices :

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

Power of indices related two more questions:

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