surds - need help

Algebra Level 1

How do you multiply the square root of 27 and the square root of 3?


The answer is 9.

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Jishnu Srivastava by Jishnu Srivastava , 26, India

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5 solutions

2 7 × 3 \sqrt27 \times \sqrt3

= 8 1 \sqrt81

= 9 \boxed9

2 Helpful 0 Interesting 0 Brilliant 0 Confused

wow..used the formatting Guide for the first time!

Yoogottam Khandelwal - 5 years, 11 months ago

√27 = 3√3, and we write the square root of three as √3 only. By laws of surds,

3√3 x √3 = 3 * 3 = 9

Note: √x * √x = x.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Vishal S
Jan 13, 2015

27 \sqrt{27} × 3 \times \sqrt{3} = 81 \sqrt{81} = 9 \boxed{9}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

sqrt(27) x sqrt(3) = x

27 x 3 = x^2

81 = x^2

x = 9

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sanket Surpur
Jan 22, 2015

root 27 =3root3 and multiply both root3 and3root3=9

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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