Question

(root 13- root 7)(root 13+root 7)​

Answer 1

Answer:

6

Step-by-step explanation:

(√13-√7) (√13+√7)

=(√13^2-√7^2)

= 13-7

=6

Answer 2

Final Answer:

The expression $(\sqrt{13}- \sqrt{7})(\sqrt{13}+\sqrt{ 7})$ is equal to 6.

Given:

The provided expression is $(\sqrt{13}- \sqrt{7})(\sqrt{13}+\sqrt{ 7})$.

To Find:

The value of the expression $(\sqrt{13}- \sqrt{7})(\sqrt{13}+\sqrt{ 7})$ is to be calculated.

Explanation:

The concepts that are essential here are as follows.

• The complex number possesses two parts: a real part, and an imaginary part.
• Every complex number has its conjugate which differs in the sign of the imaginary part either a plus sign to a minus sign or vice versa.
• The product of the complex number and its conjugate results in a real number.
• The formula $(a+b)(a-b)=a^2-b^2$.

Step 1 of 2

Simplify the expression given in the problem in the following way.

$(\sqrt{13}- \sqrt{7})(\sqrt{13}+\sqrt{ 7})\\=(\sqrt{13})^2- (\sqrt{7})^2$

Step 2 of 2

In continuation with the calculation, write the following using the above formula.

$(\sqrt{13})^2- (\sqrt{7})^2\\=13-7\\=6$

Therefore, the required correct answer is the value 6.

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https://brainly.in/question/47571

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