Question

√6 x√27 is equal to

1 point

9√2

3√3

2√2


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Answer 1

Answer:

√6 x√27 = 9√2

Step-by-step explanation:

Required to find √6 x√27

Recall the concepts

$\sqrt{ab}$ = √a x√b

(√a)² = a

Solution

We need to fine √6 x√27

√6  = $\sqrt{3X2}$ = √3 x√2

√27 = $\sqrt{3X3X3}$ = √3 x√3 x√3

√6 x√27 = √3 x√2 x√3 x√3 x√3

=(√3)²x(√3 )²x√2

=3x3x√2

= 9√2

∴√6 x√27 = 9√2

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Answer 2

Answer:

The value of √6 X √27 is 9 √2

Step-by-step explanation:

√6 X √27

=√6 X 27                                                       ( as √a X √b = √(a x b) )

We know that 6 = 2 X 3 and 27 = 9 x 3 or 3 x 3 x 3;

So, √6 X 27

= √ 2 X 3 X 3 X 3 X 3

= 3 X 3 √2                        ( we can take 3 x 3 out of the square root, as 3)

= 9 √2

The value of √6 X √27 is 9 √2.

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