find sqrt1575x^4. thanks in advance and is the answer 15x^2sqrt7
Yes, that answer is correct.
sqtr(1575^4)=1575^2=2480625
Becouse sqrt of fourth power is two
To find the square root of 1575x^4, you can break it down into smaller square roots that can be simplified.
First, take the square root of each factor individually:
sqrt(1575) = sqrt(9 * 175) = sqrt(9) * sqrt(175) = 3 * sqrt(175)
Next, simplify the square root of 175:
sqrt(175) = sqrt(25 * 7) = sqrt(25) * sqrt(7) = 5 * sqrt(7)
Now, substitute the simplified values back into the original expression:
sqrt(1575x^4) = sqrt(9 * 175 * x^4) = sqrt(9) * sqrt(175) * sqrt(x^4) = 3 * 5 * sqrt(7) * x^2
Combining like terms, we get the final simplified answer:
sqrt(1575x^4) = 15x^2 * sqrt(7)
So, the answer is indeed 15x^2 * sqrt(7).