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How do you simplify #2sqrt5(4-3sqrt5)#?

Answer 1

Kennedy Adams

# =color(blue)( 8sqrt5 -30#

#color(blue)(2sqrt5) * (4 - 3sqrt5)#

# = color(blue)(2 * sqrt5) * (4 ) +color(blue)(2sqrt5) *(- 3sqrt5)#

# = 2* 4 (sqrt5) + (2) * (- 3) * sqrt5 * sqrt5#

# = 8sqrt5 -6 * sqrt5 * sqrt5#

# = 8sqrt5 -6 *5#

# =color(blue)( 8sqrt5 -30#

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Answer 2

Avery Alexander

To simplify the expression 2√5(4-3√5), we can use the distributive property.

First, multiply 2√5 by 4, which gives us 8√5. Next, multiply 2√5 by -3√5, which gives us -6√5². Since the square root of 5 squared is simply 5, -6√5² simplifies to -6(5), which is -30.

Combining the two terms, we have 8√5 - 30 as the simplified expression.

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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.