How do you simplify $\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}}$ $sqrt(2a^2b) times sqrt(4a^2)$ ?

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How do you simplify $\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}}$ $sqrt(2a^2b) times sqrt(4a^2)$ ?

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Answer 1 · 2016-07-15T21:12:05

$\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}} = 2 a^{2} \sqrt{2 b}$ $sqrt(2a^2 b) xx sqrt(4a^2)=2a^2 sqrt(2b)$

Explanation:

Square Roots distribute across multiplication, that is to say:
$\sqrt{a b} = \sqrt{a} \times \sqrt{b}$ $sqrt(ab) = sqrt(a)xxsqrt(b)$

Knowing this, it's easy to see where we can simplify the given equation:
$\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}}$ $sqrt(2a^2 b) xx sqrt(4a^2)$
$= \sqrt{a^{2}} \times \sqrt{2 b} \times \sqrt{4} \times \sqrt{a^{2}}$ $= sqrt(a^2)xxsqrt(2b) xx sqrt(4)xxsqrt(a^2)$
$= a \times \sqrt{2 b} \times 2 \times a$ $= axxsqrt(2b)xx2xxa$
$= 2 a^{2} \sqrt{2 b}$ $=2a^2 sqrt(2b)$

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How do you simplify $\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}}$ $sqrt(2a^2b) times sqrt(4a^2)$ ?

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Explanation:

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How do you simplify sqrt(2a^2b) times sqrt(4a^2)√2a2b×√4a2sqrt(2a^2b) times sqrt(4a^2)?

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How do you simplify $\sqrt{2 a^{2} b} \times \sqrt{4 a^{2}}$ $sqrt(2a^2b) times sqrt(4a^2)$ ?