Question

simplify (4+root3) (4-root3)

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Concept:

Algebraic Identities:

• Equations with algebraic identities are those in which the values on the left and right sides of the equation are exactly equivalent.
• Algebraic identities, as opposed to algebraic expressions, fulfil each and every value of the variables.

The following are the four fundamental algebraic identities:

• $(a + b)^{2} = a^{2} + 2ab + b^{2}$
• $(a - b)^{2} = a^{2} - 2ab + b^{2}$
• $( a + b ) ( a-b)= a^{2} -b^{2}$
• $(x + a)(x + b) = x^{2} + x(a + b) + ab$

Given:

The given term is $(4+\sqrt{3} ) (4-\sqrt{3} )$.

To Find:

We need to simplify the given term.

Solution:

This is expressed as $( a + b ) ( a-b)= a^{2} -b^{2}$

$(4+\sqrt{3} ) (4-\sqrt{3} )$

By using this approach, we get

⇒  $(4)^{2} - (\sqrt{3} )^{2}$

⇒  $(4*4) - (3)$

⇒  $16-3$

⇒  $13$

Therefore, $(4+\sqrt{3} ) (4-\sqrt{3} ) = 13$

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