Question

(-√5)x(+√5) = ? with full explanation an with all staps​

Answer 1

Answer:

(-√5) × (+√5) = -5

Step-by-step explanation:

Given: (-√5) × (+√5)

To find: (-√5) × (+√5) = ?

Solution: Let's say the product of (-√5) and (+√5) is x.

So,

→ (-√5) × (+√5) = x

Now, we know that

• Product of (+) and (+) is (+)
• Product of (-) and (-) is (+)
• Product of (+) and (-) is (-)
• Product of (-) and (+) is (-)

So, from above we can say that product of (-) and (+) is (-). Also, the product of two square roots is square. So

→ - (√5)² = x

→ - 5 = x

Hence, the product of (-√5) and (+√5) is -5.

Therefore, the answer is -5.

Answer 2

We have been given an expression $(-\sqrt{5})x (+\sqrt{5})$ and we have been asked to expand the expression or we have been asked to find out the product of (-√5) and (+√5).

[As we have not been mentioned in the question for what to solve the expression, so we are solving for both]

- Expanding the expression:

Let's expand the expression step by step and understanding the steps to get our final result.

$\implies (-\sqrt{5})x (+\sqrt{5})$

Can be re-written as;

$\implies -\sqrt{5}x\sqrt{5}$

Sort the order of variables in the monomial expression;

$\implies -\sqrt{5}\sqrt{5}x$

Arrange the constant term;

$\implies \boxed{-5x}$

Hence, the required answer is -5x.

- Solving for product of (-√5) and (+√5):

Let's solve the expression step by step and understanding the steps to get our final result.

Let's consider that the product of $(-\sqrt{5})$ and $(+\sqrt{5})$ is $x$. Therefore,

$\implies (-\sqrt{5}) \times (+\sqrt{5}) \\ \\ \implies -(\sqrt{5} \times \sqrt{5}) \\ \\ \implies \boxed{-5}$

Hence, the product of (-√5) and (+√5) is -5.