Simplify the following: (√3 - √2)²
Solution:
Given, the expression is (√3 - √2)²
We have to simplify the expression.
Using the algebraic identity,
(a - b)² = a² - 2ab + b²
(√3 - √2)² = (√3)² - 2√3√2 + (√2)²
= 3 - 2√6 + 2
= 5 - 2√6
Therefore, (√3 - √2)² = 5 - 2√6
✦ Try This: Simplify the expression: Simplify the following: (√5 + √3)²
Given, the expression is (√5 + √3)²
We have to simplify the expression.
Using the algebraic identity,
(a + b)² = a² + 2ab + b²
(√5 + √3)² = (√5)² + 2√5√3 + (√3)²
= 5 + 2√15 + 3
= 8 + 2√15
Therefore, (√5 + √3)² = 8 + 2√15
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 9(vi)
Simplify the following: (√3 - √2)²
Summary:
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The simplified form of (√3 - √2)² is 5 - 2√6
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