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How do you simplify #sqrt8sqrt5sqrt2*sqrt20#?

Answer 1

Genesis Allen

# = color(blue)(40#

#sqrt 8 ⋅ sqrt 5 ⋅ sqrt 2 ⋅ sqrt 20#

# = sqrt(8 ⋅ 5 ⋅ 2 ⋅ 20# # = sqrt(1600#

# = color(blue)(40#

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Answer 2

Eva Abramson

To simplify the expression sqrt8 * sqrt5 * sqrt2 * sqrt20, we can combine the square roots and simplify the numbers inside.

First, we can simplify the numbers inside the square roots: sqrt8 = 2√2 sqrt5 = √5 sqrt2 = √2 sqrt20 = 2√5

Now, we can combine the square roots: 2√2 * √5 * √2 * 2√5

Multiplying the numbers outside the square roots: 2 * 2 * 2 * √2 * √5 * √5

Simplifying the numbers: 8 * √2 * 5

Multiplying the numbers: 40√2

Therefore, the simplified expression is 40√2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you simplify #sqrt8*sqrt5*sqrt2*sqrt20#?

How do you simplify #sqrt8sqrt5sqrt2*sqrt20#?