Question

Find the value of√125×√5

Answer 1

√125×√5 = 25

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Answer 2

Answer:

The product of √125 × √5 = 25.

Step-by-step explanation:

Step 1:- we can write √125 as

            ⇒ 5√5                  { As √125 = √(25 × 5) = √[(5)² × 5] = 5√5}

Step 2:- Now lets take the product of

            ⇒ √125 × √5

            ⇒ 5√5 × √5          { As √125 = √(25 × 5) = √[(5)² × 5] = 5√5}

            ⇒ 5× (√5)²             [ As √5 × √5 = ( √5 )² ]

            ⇒ 5 × 5                  [ ( √5 )² = 5 ]

            ⇒ 25. ⇒ (5)²

Hence the product we get of the question √125 × √5 is 25 or (5)².