Question

th
The value of

$5 \sqrt2 + \sqrt32$
​

Answer 1

29√2

Explanation:

5 \sqrt{2} + 2 \sqrt{8 } - 3 \sqrt{32} + 4 \sqrt{128} Plain form5

2

+2

8

−3

32

+4

128

Plainform

____________________

i) √8 = √(2×2×2) = 2√2

ii) √32 = √(2×2×2×2×2)=4√2

iii)√128=√(8×8×2) = 8√2

____________________

= 5√2+2(2√2)-3(4√2)+4(8√2)

= 5√2+4√2-12√2+32√2

=(5+4-12+32)√2

= 29√2

Answer 2

Answer:

9\sqrt2.

Step-by-step explanation:

5\sqrt2+4\sqrt 2 = 9\sqrt2