Question

4 √2 - 2 √8 + 5 √32 is equal to?​

Answer 1

Answer:

The answer is $20\sqrt 2$

Step-by-step explanation:

 $4\sqrt 2-2\sqrt 8+5\sqrt{32}$

$=4\sqrt 2-2\sqrt {4\times 2}+5\sqrt{16\times 2}\\=4\sqrt 2-2\sqrt {4}\times \sqrt 2}+5\sqrt{16}\times \sqrt 2}\\=4\sqrt 2-2(2)\times \sqrt 2+5(4)\times \sqrt 2\\=4\sqrt 2-4\sqrt 2+20\sqrt 2$

$=20\sqrt 2$

( As $\sqrt{ab}=\sqrt a\times \sqrt b$)

Answer 2

Answer:

$\bf 20 \sqrt{2}$

Step-by-step explanation:

$4 \sqrt2 - 2 \sqrt8 + 5 \sqrt{32}$

$= 4 \sqrt2 - 2 \sqrt{ \red{2 \times 2} \times 2 } + 5 \sqrt{ \blue{2 \times 2 }\times \purple{2 \times 2} \times 2}$

$= 4 \sqrt{2} - (2 \times \red2 \sqrt{2} ) + (5 \times \blue2 \times \purple2 \times \sqrt{2})$

$= 4 \sqrt{2} - 4 \sqrt{2} + 20 \sqrt{2}$

$= 20 \sqrt{2}$

Thanks! :)