Kirk Salinas
03/07/2024 · Junior High School
Determine whether this statement is true or false: \( \sqrt{a \times b+c}=\sqrt{a} \times \sqrt{b+c} \) Tentukan sama ada pernyataan berikut benar atau salah: \( \sqrt{a \times b+c}=\sqrt{a} \times \sqrt{b+c} \) True \( / \) Benar False \( / \) Salah
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Tutor-Verified Answer
Step-by-step Solution
To determine whether the statement is true or false, we need to simplify both sides of the equation and compare them.
Let's start with the left side of the equation:
\( \sqrt{a \times b+c} \)
Now, let's simplify the right side of the equation:
\( \sqrt{a} \times \sqrt{b+c} \)
According to the property of square roots, we can multiply the square roots if the terms inside the square roots are multiplied together. However, in this case, the terms inside the square roots are not being multiplied together. Instead, we have \( a \times b \) and \( c \) being added.
So, we cannot directly apply the property of square roots to multiply the terms on the right side. Therefore, the statement is false.
Answer: False \( / \) Salah
Quick Answer
The statement is false.
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