Question

simplify 8√45-8√20+√245-3√125​

Answer 1

Answer:

=8√45-8√20+√245-3√12

=8×3√5-8×2√5+7√5-3×5√5

=24√5-16√5+7√5-15√5

=31√5-31√5

=0

Answer 2

$8\sqrt{45}-8\sqrt{20}+\sqrt{245}-3\sqrt{125}=0$

Step-by-step explanation:

Given : Expression $8\sqrt{45}-8\sqrt{20}+\sqrt{245}-3\sqrt{125}$

To find : Simplify the expression ?

Solution :

$8\sqrt{45}-8\sqrt{20}+\sqrt{245}-3\sqrt{125}$

Writing in factor form,

$=8\times 3\sqrt{5}-8\times 2\sqrt{5}+7\sqrt{5}-3\times5\sqrt{5}$

$=24\sqrt{5}-16\sqrt{5}+7\sqrt{5}-15\sqrt{5}$

$=(24-16+7-15)\sqrt{5}$

$=(0)\times \sqrt{5}$

$=0$

Therefore, $8\sqrt{45}-8\sqrt{20}+\sqrt{245}-3\sqrt{125}=0$

#Learn more

Simplify (√5+√3) (√5-√3)

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