Whole numbers
PRIME FACTORISATION
Given:

Determine the square root of 9604 , without
using a calculator.
Answer:

Check answer 2 attempts remaining
Help! How should I type my answer?

Ask by Klein Peters. in South Africa

Feb 08,2025

Question

Whole numbers
PRIME FACTORISATION
Given:

Determine the square root of 9604 , without
using a calculator.
Answer:

Check answer 2 attempts remaining
Help! How should I type my answer?

Ask by Klein Peters. in South Africa

Feb 08,2025

UpStudy AI · Accepted Answer

To solve the problem, note that by the properties of square roots, we have

√9604 = √(2² × 7⁴) = √(2²) × √(7⁴).

Since √(2²) = 2 and √(7⁴) = 7² = 49, multiplying these gives

2 × 49 = 98.

So, the square root of 9604 is 98.

When entering your answer, simply type the number without extra symbols. For example, you could enter:

98

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Type the number 98 as your answer.