Question

Simplify ( √5 - √2 ) (√5 + √2 )​

Answer 1

What to do ?

• We have to simplify the given equation, (√5 – √2)(√5 + √2).

Using Indentity :–

• (a – b) (a + b) = a² – b².

Solution :–

Here the values of a and b,

• a = √5
• b = √2

Now, put both values in the identity.

→ (√5)² – (√2)²

We know that,

Square root canceled with the power.

So, we get

→ 5 – 2

Now, subtract this both number (5 and 2),

We get,

→ 3

Hence, the simplification of the given equation (√5 – √2)(√5 + √2) is 3.

Answer 2

Answer:

5-2=3 or 3

Step-by-step explanation:

As the property or identity (a+b)(a-b) is used here as,

$( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} )$

Therefore,(a+b)(a-b)=a²-b²

$( { \sqrt{5} }^{2} ) - ( { \sqrt{2} }^{2} )$

$= 5 - 2 = 3$

As (√5²)=5 and (√2²)=2 ......

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