Question

simplify (√3 - √11)^2

Answer 1

Answer:

Step-by-step explanation:

hope this will help u

Answer 2

$\huge\underline\mathfrak\red{AnsweR}$

Give-

${( \sqrt{3} - \sqrt{11}) }^{2}$

To-

Simplify

Solution-

By using the identity

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

We will solve this problem.

Coming back to your question-

${ (\sqrt{3} - \sqrt{11}) }^{2}$

${ (\sqrt{3}) }^{2} - 2 (\sqrt{3} \times \sqrt{11}) + ( { \sqrt{11}) }^{2}$

$3 - 2 \sqrt{33} + \: {11}$

➩ $8 - 2 \sqrt{3}$

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Some more identities -

➩$\sqrt{xy} = \sqrt{x} \sqrt{y}$

➩$\sqrt{ \frac{x}{y}} = \sqrt{ \frac{x}{y} }$

➩$( \sqrt{x} + \sqrt{y})( \sqrt{x} - \sqrt{y} ) = x - y$

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

➩$( \sqrt{x} + \sqrt{y})^{2} = {x}^{2} + 2 \sqrt{xy} + y$

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