Question

Simplify the following 2√50+3√32+4√18

Answer 1

Hi ,

2√50 + 3 √32 + 4 √18

= 2√(5×5)×2 + 3√(2×2)(2×2)×2

+ 4√(3×3)×2

= 2×5√2 + 3 ×2×2 √2 + 4×3 √2

= 10 √2 + 12 √2 + 12 √2

= 34 √2

I hope this helps you.

:)

Answer 2

The value of $2\sqrt{50} +3\sqrt{32} +4\sqrt{18}$ is $34\sqrt{2}$.

Step-by-step explanation:

We need to simplify the given number i.e.

$2\sqrt{50} +3\sqrt{32} +4\sqrt{18}$ ....(1)

$\sqrt{50} =\sqrt{2\times 5\times 5 }=5\sqrt{2}$

$\sqrt{32} =\sqrt{2^5} =4\sqrt{2}$

$\sqrt{18} =\sqrt{3\times 3\times 2} =3\sqrt{2}$

Putting all the values in equation (1) such that,

$2\times 5\sqrt{2} +3\times 4\sqrt{2} +4\times 3\sqrt{2}\\\\=10\sqrt{2} +12\sqrt{2} +12\sqrt{2} \\\\=34\sqrt{2}$

So, the value of $2\sqrt{50} +3\sqrt{32} +4\sqrt{18}$ is $34\sqrt{2}$.

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Simplification

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