Question

$\sqrt{150 \times 50 \times 90 \times 10}$
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Answer 1

Answer:

90 times 150times 90 times 150 tines

Answer 2

Solution:-

We have to solve and it can be solved by two methods :-

Method-1:-

⇒ √150 × 50 × 90 × 10

⇒ √6750000

⇒ 1500√3 or  2598.07

Mehod-2:-

⇒ √150 × 50 × 90 × 10

⇒ √2 × 2 × 3 × 5 × 5 × 2 × 2 × 5 × 5 × 3 × 3 × 5 × 5

[ Note:- Take the pair of Same numbers in product to take it out from root and it is written only ones after coming out from root ]

⇒ 2 × 5 × 2 × 5 × 3 × 5√3

⇒ 1500√3   or  2598.07

Some important terms:-

• √m × √n  =  √m × n

• $\dfrac{\sqrt{m}}{\sqrt{n}}$  =  √m ÷ n

• $\sqrt[n]{m}$  =  $m^{\frac{1}{n}}$