Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(sqrt10)^(3)

77) (10)3 (\sqrt{10})^{3}

Full solution

Q. 77) (10)3 (\sqrt{10})^{3}
  1. Evaluate and Raise to Power: Evaluate the square root of 1010 and then raise it to the power of 33.(10)3=(10)×(10)×(10)(\sqrt{10})^3 = (\sqrt{10}) \times (\sqrt{10}) \times (\sqrt{10})
  2. Multiply by Itself Three Times: Since we know that 10\sqrt{10} is an irrational number, we can't simplify it further, so we just multiply it by itself three times.(10)3=10×10\left(\sqrt{10}\right)^3 = 10 \times \sqrt{10}

More problems from Roots of integers