Simplify 4square root 8 - 3 square root 2 ?

Question

a) -5 square root 2

b) -4 square root 2

c) 4 square root 2

d) 5 square root 2

Answer 1

4sqrt(8) - 3sqrt(2) = 4sqrt(4 * 2) - 3sqrt(2) = 4 * 2sqrt(2) - 3sqrt(2)

= 8sqrt(2) - 3sqrt(2) = 5sqrt(2)

D.

Answer 2

8 sqrt2 -3 sqrt 2

sqrt 2(8-5)=3 sqrt 2

Answer 3

4√8 – 3√2

= 4√(4 × 2) – 3√2

=4 × 2√2 – 3√2

= 8√2 – 3√2

= √2(8 – 3)

= 5 √2 --------- option d

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Answer 4

4sqrt(8) - 3sqrt(2)

= (4*2)sqrt2 - 4sqrt(2)

= 8sqrt(2) - 4sqrt(2)

= 4sqrt(2)

(C) <---answer

Answer 5

Square root of 8 = 2xsqr. root 2.

4 sqr. root 2 = 4x2xsqr. root 2. = 8 sqr. root 2.

Now 8 sqr. root 2 - 3 sqr. root 2 = 5 sqr. root 2.

Answer should be (d).

Answer 6

4square root 8 = 4square root (2^3) = 4square root (2*2^2) =

4square root 2^2 * square root 2 = 4*2 * square root 2 =

8 * square root 2

so

4square root 8 - 3 square root 2 =

8 * square root 2 - 3 square root 2 =

5 * square root 2

Choose from a) b) c) and d)

Answer 7

4*sqrt(8) - 3*sqrt(2)

sqrt(8) = sqrt(4*2) = sqrt(4)*sqrt(2) = 2*sqrt(2)

4*2*sqrt(2) - 3*sqrt(2) = 8*sqrt(2) - 3*sqrt(2) = 5*sqrt(2)