Question

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

Answer 1

Step-by-step explanation:

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Answer 2

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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