Math, asked by vanshikasingh12345, 10 months ago

rationalize the denominator of under root 3 - under root 2 / under root 3 + under root 2​

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Answered by AlluringNightingale
0

Answer:

5 - 2√6

Solution:

Here,

We need to rationalize the denominator of ;

(√3 - √2)/(√3 + √2)

Thus,

Here we go ↓

(√3 - √2)/(√3 + √2)

= (√3 - √2)(√3 - √2) / (√3 + √2)(√3 - √2)

= (√3 - √2)² / [ (√3)² - (√2)² ]

= [ (√3)² - 2×√3×√2 + (√2)² ] / (3 - 2)

= (3 - 2√6 + 2) / 1

= 5 - 2√6

Hence,

Required answer is ; 5 - 2√6

Answered by shizuka0003
0

this is the answer...

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