Question

solve this please...............

Answer 1

Hiiii friend,

✓32 + ✓48/✓8 + ✓12

✓32 = 2 × 2 × 2 × 2 × 2

✓48 = 2 × 2 × 2 × 2 × 3

✓8 = 2 × 2 × 2

And,

✓12 = 2 × 2 × 3

Therefore,

✓32+✓48/✓8+✓12

=> ✓2 × 2 × 2 × 2 × 2 + ✓ 2 × 2 × 2 × 2 × 3 / ✓2 × 2 × 2 + ✓2 × 2 × 3

=> ✓16 × 2 + ✓16 × 3/✓4 × 2 + ✓4 × 3

=> 4✓2 + 4✓3/2✓2 + 2✓3

Rationalizing the Denominator 2✓2 + 2✓3 we get,

=> 4✓2 + 4✓3/ 2✓2 + 2✓3 × 2✓2-2✓3/2✓2-2✓3

=> (4✓2+4✓3)(2✓2-2✓3)/(2✓2+2✓3)(2✓2-2✓3)


we know that,

(A+B)(A-B) = A²-B²

Therefore,

=> 4✓2(2✓2-2✓3)+4✓3(2✓2-2✓3)/(2✓2)² - (2✓3)²

=> 8 × 2 - 8✓6 + 8✓6 - 24 / 8 - 12

=> 16 - 24/-4

=> -8/-4 = 2

HOPE IT WILL HELP YOU...... :-)