Question

If a+b=5 and a-b= √17 then the value of ab should be
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Answer 1

The value of ab = 2

Given :

a + b = 5 and a - b = √17

To find :

The value of ab

Formula :

4ab = (a + b)² - (a - b)²

Solution :

Step 1 of 2 :

Write down the given values

Here it is given that a + b = 5 and a - b = √17

Step 2 of 2 :

Find the value of the ab

We are aware of the formula that

4ab = (a + b)² - (a - b)²

Putting the values we get

4ab = (a + b)² - (a - b)²

⇒ 4ab = (5)² - (√17)²

⇒ 4ab = 25 - 17

⇒ 4ab = 8

⇒ ab = 8/4

⇒ ab = 2

Hence the required value of ab = 2

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