The problem requires us to evaluate the square root of the product of 100 and 121. That is, we need to find the value of $\sqrt{100 \times 121}$.

ArithmeticSquare RootsMultiplicationOrder of Operations
2025/3/20

1. Problem Description

The problem requires us to evaluate the square root of the product of 100 and
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1. That is, we need to find the value of $\sqrt{100 \times 121}$.

2. Solution Steps

We need to evaluate the expression 100×121\sqrt{100 \times 121}.
We know that a×b=a×b\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}.
So, 100×121=100×121\sqrt{100 \times 121} = \sqrt{100} \times \sqrt{121}.
We know that 100=10\sqrt{100} = 10 and 121=11\sqrt{121} = 11.
Therefore, 100×121=10×11\sqrt{100 \times 121} = 10 \times 11.
10×11=11010 \times 11 = 110.

3. Final Answer

110

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