Math Problem Statement
Match the cube roots and square roots with their values: √4, ∛27, √64, √49, and ∛1,000.
Solution
Let's solve this matching puzzle step by step by finding the square roots and cube roots of the given numbers:
- √4: This is the square root of 4. The square root of 4 is 2.
- √27: This is the cube root of 27. The cube root of 27 is 3 because 3³ = 27.
- √64: This is the square root of 64. The square root of 64 is 8.
- √49: This is the square root of 49. The square root of 49 is 7.
- √1,000: This is the cube root of 1,000. The cube root of 1,000 is 10 because 10³ = 1,000.
Matches:
- √4 → 2
- √27 → 3
- √64 → 8
- √49 → 7
- √1,000 → 10
Let me know if you'd like any more clarifications or help with similar problems!
Here are some related questions you might find interesting:
- What is the square root of 81?
- How do you find cube roots for numbers like 512 or 1000?
- Can you explain the difference between square roots and cube roots in simple terms?
- What are the properties of cube roots for perfect cubes?
- How do you simplify square roots or cube roots of large numbers?
Tip: To find the square root of a number, you can use a calculator or look for a perfect square (like 1, 4, 9, 16, etc.). Cube roots work similarly with perfect cubes (like 1, 8, 27, 64).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Square Roots
Cube Roots
Radicals
Perfect Squares
Perfect Cubes
Formulas
√x (square root) where √x * √x = x
∛x (cube root) where ∛x * ∛x * ∛x = x
Theorems
Radical Simplification Rules
Suitable Grade Level
Grades 5-7