(√2+√3)^(2)-5=???
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Given:
The equation -
- (√2 + √3)² - 5 = ?
What To Find:
We have to find -
- The value of (?).
Solution:
Let (?) be x. So it will be -
→ (√2 + √3)² - 5 = x
Solve the brackets by using the identity -
→ (a + b)² = a² + b² + 2ab
Where -
- a = √2
- b = √3
Substitute,
→ (√2)² + (√3)² + 2(√2 × √3) - 5 = x
Find the squares of √2 and √3,
→ 2 + 3 + 2(√2 × √3) - 5 = x
Solve 2(√2 × √3),
→ 2 + 3 + 2√6 - 5 = x
Rearrange the like terms,
→ 2 + 3 - 5 + 2√6 = x
Solve the term: 2 + 3 - 5,
→ 0 + 2√6 = x
Can be written as,
→ 2√6 = x
Final Answer:
∴ Thus, the value of the equation is 2√6.
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