Math, asked by sukanyakashyap78669, 1 year ago

simplify the expression (√7-6)(√3-√7)​

Answers

Answered by sdhanabagyamsdhanaba
19

Step-by-step explanation:

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Answered by adventureisland
7

The solution of the expression is \sqrt{21}-7-6 \sqrt{3}+6 \sqrt{7}

Explanation:

The given expression is (\sqrt{7}-6)(\sqrt{3}-\sqrt{7})

We need to simplify the given expression.

The expression can be simplified by multiplying each term within the bracket and add the terms.

Thus, we have,

\sqrt{7} \sqrt{3}+\sqrt{7}(-\sqrt{7})+(-6) \sqrt{3}+(-6)(-\sqrt{7})

The term \sqrt{7} \sqrt{3} can be written as \sqrt{21}

Also, the term \sqrt{7}(-\sqrt{7}) is simplified as -(\sqrt{7})^2=-7

Substituting these values, we have,

\sqrt{21}-7-6 \sqrt{3}+6 \sqrt{7}

Therefore, the solution of the expression is \sqrt{21}-7-6 \sqrt{3}+6 \sqrt{7}

Learn more:

(1) Simplify (root 3 + root 7) 2

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(2) Simplify 3√3+2√27+7/√3

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