Question

sadurup apo. (√3+√2)×(√3-√2)=..........


​

Answer 1

If we carefully observe the given problem ; it is in the form of (a+b)(a-b) identity. We will use the same identity to solve the given problem .

For that we need to follow up the given steps :

1. Identify the identity
2. Write its expansion
3. Put up the values
4. Simplify

Solution :

Identity :

→ (√3 + √2)(√3 - √2) => (a+b)(a-b)

Expansion :

→ (a+b)(a-b) = a² - b²

Putting up the values :

→ a = √3

→ b = √2

Simliplification :

→(√3 + √2)(√3 - √2) = √3² - √2²

→(√3 + √2)(√3 - √2) = 3 - 2

(The "√" symbol and ² power get cancelled to each other)

→ (√3 + √2)(√3-√2) = 1

Hence , expanded.

Answer 2

★ QUESTION :

(√3 + √2) × (√3 - √2) = ? ( Solve this question )

GIVEN :

• (√3 + √2) × (√3 - √2)

TO FIND :

• (√3 + √2) × (√3 - √2) = ?

STEP-BY-STEP EXPLAINATION :

➠ (√3 + √2) × (√3 - √2)

➠ (√3)² - (√2)²

Now, Here square and root will place over , as per the given formula of (a² - b²)

➠ 3 - 2 = 1

➠ 1

Hence, the value of (√3 + √2) × (√3 - √2) = 1

||____________________________||

⭐ ADDITIONAL INFORMATION ⭐

||____________________________||

⟹ (a² - b²)

Here as you can see that in the provided question it's given as (√3 + √2) × (√3 - √2) can be written as (√3)² - (√2)², as per the given formula (a² - b²)

and this (a² - b²) when breaked can also be written into this form :-

ㅤ★ When combined :

ㅤㅤㅤㅤㅤㅤㅤ(a² - b²)

ㅤ

ㅤ★ When Broken :

ㅤㅤㅤㅤㅤㅤ(√a + √b) × (√a - √b)