# What is: 4th root of 25 - √45 + √89Show complete solution and explain the answer.

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So you have the 4th root of 25 - sqrt45 + sqrt 89?

The fourth root of 25 is the same as the sqrt of the sqrt of 25 or simply the sqrt of 5. The sqrt of 45 is the sqrt of 9*5 or 3Xsqrt of 5. 89 is a prime number so it remains as the sqrt of 89. So now we have sqrt of 5 - 3Xsqrt of 5 + sqrt of 89. This becomes -2(sqrt5) + sqrt89 which is 4.96184571...