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If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?
a)
21.66
- b)13.41
- c)44.7
- d)22.35
Correct answer is 'D'. Can you explain this answer?
Verified Answer
If 3√5 +√125 = 17.88, then what will be the value of√80 + 6√5?a)21.66b...
Most Upvoted Answer
If 3√5 +√125 = 17.88, then what will be the value of√80 + 6√5?a)21.66b...
3√5+√125=17.188
3√5+5√5=17.188
8√5=17.188
from here we get the value of √5,
√5=17.188/8
now,
√80+16√5=
4√5+16√5=
20√5
put value of √5 here
20*17.188/8=44.7
3√5+5√5=17.188
8√5=17.188
from here we get the value of √5,
√5=17.188/8
now,
√80+16√5=
4√5+16√5=
20√5
put value of √5 here
20*17.188/8=44.7
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Community Answer
If 3√5 +√125 = 17.88, then what will be the value of√80 + 6√5?a)21.66b...
Given:
3√5 √125 = 17.88
To Find:
√80 6√5
Explanation:
To find the value of √80 6√5, we can simplify it step by step.
Step 1: Simplify √80
We can simplify √80 by breaking it down into its prime factors:
√80 = √(2 * 2 * 2 * 2 * 5) = 2 * 2 * √5 = 4√5
Step 2: Simplify 6√5
We can simplify 6√5 by multiplying the coefficient (6) with the square root (√5):
6√5 = 6 * √5
Step 3: Substitute the simplified values into the expression
Now, we substitute the simplified values into the expression √80 6√5:
√80 6√5 = 4√5 - 6 * √5
Step 4: Combine like terms
Next, we can combine like terms by factoring out the common term (√5):
4√5 - 6 * √5 = (√5) * (4 - 6) = -2√5
Step 5: Substitute the given value
We are given that 3√5 √125 = 17.88. Let's substitute this value into our expression:
-2√5 = 17.88
Step 6: Solve for √5
To solve for √5, we divide both sides of the equation by -2:
√5 = 17.88 / -2 = -8.94
Step 7: Substitute the value of √5 into the expression
Now, we substitute the value of √5 into the expression √80 6√5:
4√5 - 6 * √5 = 4 * -8.94 - 6 * -8.94 = -35.76 + 53.64 = 17.88
Conclusion:
Therefore, the value of √80 6√5 is 17.88, which corresponds to option D.
3√5 √125 = 17.88
To Find:
√80 6√5
Explanation:
To find the value of √80 6√5, we can simplify it step by step.
Step 1: Simplify √80
We can simplify √80 by breaking it down into its prime factors:
√80 = √(2 * 2 * 2 * 2 * 5) = 2 * 2 * √5 = 4√5
Step 2: Simplify 6√5
We can simplify 6√5 by multiplying the coefficient (6) with the square root (√5):
6√5 = 6 * √5
Step 3: Substitute the simplified values into the expression
Now, we substitute the simplified values into the expression √80 6√5:
√80 6√5 = 4√5 - 6 * √5
Step 4: Combine like terms
Next, we can combine like terms by factoring out the common term (√5):
4√5 - 6 * √5 = (√5) * (4 - 6) = -2√5
Step 5: Substitute the given value
We are given that 3√5 √125 = 17.88. Let's substitute this value into our expression:
-2√5 = 17.88
Step 6: Solve for √5
To solve for √5, we divide both sides of the equation by -2:
√5 = 17.88 / -2 = -8.94
Step 7: Substitute the value of √5 into the expression
Now, we substitute the value of √5 into the expression √80 6√5:
4√5 - 6 * √5 = 4 * -8.94 - 6 * -8.94 = -35.76 + 53.64 = 17.88
Conclusion:
Therefore, the value of √80 6√5 is 17.88, which corresponds to option D.
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If 3√5 +√125 = 17.88, then what will be the value of√80 + 6√5?a)21.66b)13.41c)44.7d)22.35Correct answer is 'D'. Can you explain this answer?
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