Question

Multiply (7–√) * (−2–√) . Give an exact answer.(1 point)

√14
√5
-√14
-7√2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To multiply (7–√) * (−2–√), we can use the distributive property:

(7–√) * (−2–√) = 7*(-2) + 7*(-√) - (√)*(-2) - (√)*(-√)

Simplifying each term:

7*(-2) = -14
7*(-√) = -7√
(√)*(-2) = -2√
(√)*(-√) = -√ * √ = -√(√) = -√(1) = -√

Summing up the terms:

-14 - 7√ - 2√ - √

Combining like terms:

-14 - 9√

Therefore, the answer is -14 - 9√.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To multiply (7–√) * (−2–√), we can use the distributive property.

Step 1: Multiply the first two terms: 7 * -2 = -14.
Step 2: Multiply the first term of the first expression with the second term of the second expression: 7 * (-√) = -7√.
Step 3: Multiply the second term of the first expression with the first term of the second expression: (-√) * (-2) = 2√.
Step 4: Multiply the last two terms: (-√) * (-√) = (√) * (√) = √.

Putting it all together: -14 + (-7√) + 2√ + √.

Combining like terms, we have: -14 - 7√ + 2√ + √.

Simplifying further, we get: -14 - 7√ + 3√.

Combining like terms, we have: -14 - 4√.

Therefore, the exact answer is -14 - 4√.

Answer 3

[AI-generated answer — Explain Bot]

To multiply (7-√2) and (-2-√2), you can use the distributive property by multiplying each term of the first expression by each term of the second expression.

Here's how to do it step by step:

Step 1: Multiply the two terms of the first expression by the first term of the second expression:
(7 * -2) = -14

Step 2: Multiply the two terms of the first expression by the second term of the second expression:
(7 * -√2) = -7√2

Step 3: Multiply the second term of the first expression by the first term of the second expression:
(-√2 * -2) = 2√2

Step 4: Multiply the second term of the first expression by the second term of the second expression:
(-√2 * -√2) = 2

Step 5: Simplify the result by combining like terms:
-14 + (-7√2) + 2√2 + 2 = -14 - 5√2 + 2 = -12 - 5√2

So, the exact answer is -12 - 5√2.