Plz solve this question.
Attachments:
Answers
Answered by
2
Step-by-step explanation:
its answer will be 29-2root2/7
Attachments:
Answered by
8
Given
Simplify
1/2-√3 + 5/3-√2 - 1/√3+√2
Solution
→ 1/2-√3 + 5/3-√2 - 1/√3+√2
★ Rationalize denominator
→ 1/2-√3 × 2+√3/2+√3 + 5/3-√2 × 3+√2/3+√2 - 1/√3+√2 × √3-√2/√3-√3
→ 2+√3/(2)²-(√3)² + 5(3+√2)/(3)²-(√2)² -
√3-√2/(√3)²-(√2)²
→ 2+√3/4-3 + 15+5√2/9-2 - √3-√2/3-2
→ 2+√3+ 15+5√2/7 - √3-√2
→ 2 + √3 - √3 - √2 + 15+5√2/7
→ 2 - √2 + 15+5√2/7
→ 7(2 - √2)+ 15 + 5√2/7
→ 14 - 7√2 + 15 +5√2/7
→ 14 + 15 - 7√2 + 5√2/7
→ 29 - √2(7-5)/7
→ 29 - 2√2/7
Similar questions