Question

*Write the conjugate pair of √7+3√5* 1️⃣ 3√5 + √7 2️⃣ √5 + 3√7 3️⃣ - √7 + 3√5 4️⃣ - √7 - 3√5​

Answer 1

Step-by-step explanation:

Given: $\sqrt{7} + 3 \sqrt{5}$

To find: Find the conjugate pair of above written expression.

1️⃣ 3√5 + √7

2️⃣ √5 + 3√7

3️⃣ - √7 + 3√5

4️⃣ - √7 - 3√5

Solution:

Tip: $(x + y)$ and $(x - y)$ are conjugate pairs.

Here,

$\sqrt{7} + 3 \sqrt{5}$

is given, its conjugate pair may be

$\sqrt{7} - 3 \sqrt{5}$

but this option is not available.

So,

Write the expression as

$3\sqrt{5} + \sqrt{7}$

now, it's conjugate pair is

$3 \sqrt{5} - \sqrt{7}$

it can be written as

$- \sqrt{7} + 3 \sqrt{5}$

Thus, Option 3️⃣ is correct.

Final answer:

Option 3️⃣ is correct.

$\bf - \sqrt{7} + 3 \sqrt{5}$ is conjugate pair of $\bf \sqrt{7} + 3 \sqrt{5}$

Hope it helps you.

Learn more:

1) The conjugate pair of √3 − √2 is…

https://brainly.in/question/27721385

2) the conjugate pair of is√4-√7 (a)√4-√7

(b) √4+√7

(c) -√4+√7

(d) -√4-√7

https://brainly.in/question/29033118

Answer 2

Answer:

The answer is 3√5-√7.

Step-by-step explanation:

The conjugate of (x+y) is (x-y) and vice versa.

    Now, let x=3√5 and y=√7,

       and since the conjugate of (x+y) is (x-y)

         So, the conjugate of 3√5+√7 is 3√5-√7.

Whereas if we take y=3√5 and x=√7,

      then the conjugate would have been √7-3√5, which option is not available.