Question

How can you simplify √28−5√12 ?

Answer 1

solution  

The value is  - 12.01

Question;

How can you simplify √28−5√12 ?

step 1 ;

     let's  simplify it first

     √28 = 5.29...

     √12 = 3.46....

    thus, 5√12  =5*3.46= 17.3

Step 2 ;

  substitute values ;

√28−5√12 = 5.29 - 17.3 =  - 12.01

   Thus, the value is - 12.01

Answer 2

Step-by-step explanation:

Given:$\sqrt{28 - 5\sqrt{12} }$

To find: Simplify

Solution:

Tip: Convert the terms under square root into complete whole square.

Rearrange the terms

$\sqrt{28 - 5 \sqrt{12} }$

or

$\sqrt{28 -5 \sqrt{4 \times 3} }$

or

$\sqrt{28 - 2\times 5\sqrt{3} }$

or

$\sqrt{( {5)}^{2} - 2 \times 5 \sqrt{3} + ( { \sqrt{3}) }^{2} }$

because

${a}^{2} - 2ab + {b}^{2} = ( {a - b)}^{2}$

or

$\sqrt{( {5 - \sqrt{3} )}^{2} }$

or

$\sqrt{28 - 5\sqrt{12} }=\bold{\red{5 - \sqrt{3}}}$

Final answer:

Simplification of $\sqrt{28 - 5 \sqrt{12} }$ is $\bold{\red{5 - \sqrt{3}}}$

Hope it helps you.

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