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Calculate the Sum of Square Roots











































what is the square root of 54 + the sqrt of 24? they are different, not under the same sqrt

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May 03, 2012
Evaluate the Sum of Square Roots
by: Staff



Question:

what is the square root of 54 + the sqrt of 24? they are different, not under the same sqrt


Answer:

√54 + √24

= √(2*3*3*3) + √(2*2*2*3)

= √(3²*2*3) + √(2²*2*3)

= √(3²*6) + √(2²*6)

= [√(3²)*√6] + [√(2²)*√6]

= [3*√6] + [2*√6]

= 3√6 + 2√6

= 5√6

≈ ±5*2.44949

≈ ±12.2475


>>> the final answer is:

√54 + √24 = 5√6

Or

√54 + √24 ≈ ±12.2475




Thanks for writing.

Staff
www.solving-math-problems.com




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