Math

QuestionCalculate the product: 2×13=\sqrt{2} \times \sqrt{13}=

Studdy Solution

STEP 1

Question: What is a square root?
A) A number that when multiplied by itself gives the original number. B) A number that when divided by itself gives the original number. C) A number that when added to itself gives the original number. D) A number that when subtracted from itself gives the original number.
Answer: A) A number that when multiplied by itself gives the original number.

STEP 2

Question: How can we multiply two square roots together?
A) By adding the values inside the square roots. B) By subtracting the values inside the square roots. C) By multiplying the values inside the square roots and then taking the square root of the result. D) By dividing the values inside the square roots.
Answer: C) By multiplying the values inside the square roots and then taking the square root of the result.

STEP 3

Question: Given the equation a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}, what is the value of a and b in 2×13=a×b\sqrt{2} \times \sqrt{13} = \sqrt{a \times b}?
A) a=13, b=2 B) a=2, b=13 C) a=26, b=26 D) a=1, b=1
Answer: B) a=2, b=13

STEP 4

Question: Substitute the values of a and b into the equation a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}. What is the resulting equation?
A) 13×2=26\sqrt{13} \times \sqrt{2} = \sqrt{26} B) 2×13=26\sqrt{2} \times \sqrt{13} = \sqrt{26} C) 2×13=2\sqrt{2} \times \sqrt{13} = \sqrt{2} D) 2×13=13\sqrt{2} \times \sqrt{13} = \sqrt{13}
Answer: B) 2×13=26\sqrt{2} \times \sqrt{13} = \sqrt{26}

STEP 5

Question: Calculate the value of 2 * 13.
A) 26 B) 15 C) 16 D) 25
Answer: A) 26

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