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Earn +20 ptsQ: What are square roots of 64?
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What are the positive and negative square roots of 64?
Negative
Which two square roots are used to estimate square root 67?
Square root 64 and square root 81
What two square roots are used to estimate the square root of 67?
Square root of 64 and square root of 81, perhaps.
When comparing square roots is the one that is higher automatically bigger?
The answer depends on what you mean by higher. 81 is bigger than 64. But the square roots of 81 are -9 and +9 while the square roots of 64 are -8 and +8. You then have -9 < -8 so sqrt(81) < sqrt(64) -9 < 8 so sqrt(81) < sqrt(64) -8 < 9 so sqrt(64) < sqrt(81) 8 < 9 so sqrt(64) < sqrt(81) Take your pick!
Why is the square root of 64 not a unique answer?
Because both 82 and (-8)2 equal 64. So both 8 and -8 could be square roots of 64. When solving equations involves taking a square root, you need to be alert to the possibilty that there may be multiple answers.
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