Math, asked by prabhjot471, 9 months ago

Plz solve this question. ​

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Answers

Answered by Harshit5218
2

Step-by-step explanation:

its answer will be 29-2root2/7

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Answered by Anonymous
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

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