Question

simplify .....6√3 + 5√12

Answer 1

Answer:

Step-by-step explanation:

6√3 + 5√12

( √12 = 2√3) as 12= 2×2×3 so √12 = √(2×2×3) => 2√3

6√3 +5(2√3) => 6√3+10√3 => 16√3

Answer 2

6√3 + 5√12 = 16√3

Given :

The expression 6√3 + 5√12

To find :

To simplify the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 6√3 + 5√12

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ 6 \sqrt{3} + 5 \sqrt{12} }$

$\displaystyle \sf{ = 6 \sqrt{3} + 5 \sqrt{2 \times 2 \times 3} }$

$\displaystyle \sf{ = 6 \sqrt{3} + 5 \sqrt{ {2}^{2} \times 3} }$

$\displaystyle \sf{ = 6 \sqrt{3} +( 5 \times 2) \sqrt{ 3} }$

$\displaystyle \sf{ = 6 \sqrt{3} +10\sqrt{ 3} }$

$\displaystyle \sf{ = (6 + 10) \sqrt{3} }$

$\displaystyle \sf{ = 16 \sqrt{3} }$