Question

If root 2=1. 414 and root 3=1. 732, then find the value of
4/3root3 plus 3/2root2

Answer 1

Hiii friend,

Hiii friend,✓2 = 1.414

Hiii friend,✓2 = 1.414 And,

Hiii friend,✓2 = 1.414 And,✓3 = 1.732

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10=> 6✓3-4✓2/5

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10=> 6✓3-4✓2/5=> 6 × 1.732 - 4 × 1.414/5

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10=> 6✓3-4✓2/5=> 6 × 1.732 - 4 × 1.414/5=> 10.392 - 5.656/5

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10=> 6✓3-4✓2/5=> 6 × 1.732 - 4 × 1.414/5=> 10.392 - 5.656/5=> 4.736/5

Hiii friend,✓2 = 1.414 And,✓3 = 1.7324/3✓3 + 2✓2 Rationalizing the denominator 3✓3 + 2✓2=> 4/3✓3 + 2✓2 × 3✓3-2✓2/3✓3-2✓2=> 4(3✓3-2✓2)/(3✓2+2✓2)(3✓3-2✓2)=> 12✓3 - 8✓2/(3✓2)² - (2✓2)²=> 12✓3 - 8✓2/18 - 8=> 12✓3-8✓2/10=> 2(6✓3-4✓2)/10=> 6✓3-4✓2/5=> 6 × 1.732 - 4 × 1.414/5=> 10.392 - 5.656/5=> 4.736/5HOPE IT WILL HELP YOU...... :-)

Answer 2

Answer:

Step-by-step explanation: