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How to simplify square root of 98 - the square root of 50 - the square root of 72?

Answer 1

#-4sqrt(2)#

#sqrt(98) - sqrt(50) - sqrt(72) = sqrt(49*2) - sqrt(25*2) - sqrt(36*2)# # = sqrt(49)sqrt(2) - sqrt(25)sqrt(2) - sqrt(36)sqrt(2)# # = 7sqrt(2) - 5sqrt(2) - 6sqrt(2)# # = -4sqrt(2)#

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Answer 2

Ethan Adkins

To simplify the expression √98 - √50 - √72, we can break down each square root into its prime factors and simplify further.

√98 = √(2 * 7 * 7) = 7√2 √50 = √(2 * 5 * 5) = 5√2 √72 = √(2 * 2 * 2 * 3 * 3) = 6√2

Substituting these values back into the original expression, we have:

7√2 - 5√2 - 6√2

Combining like terms, we get:

(7 - 5 - 6)√2 = -4√2

Therefore, the simplified form of √98 - √50 - √72 is -4√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.