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if 2^{a} = √64 and b/a = 3,

Evalute a^{2} + b^{2}

A. 250

B.160

C. 90

D. 48

**Comments**

Answer C. 90

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2^{a} = √64

√64 = 64^{1/2}

Therefore,

2^{a} = 64^{1/2}

From indices, 64 = 2^{6}

2^{a} = 2^{6(1/2)}

2^{a} = 2^{6/2}

2^{a} = 2^{3}

a = 3

b/a = 3

b = 3a

b = 3(3)

b = 9

Therefore,

a^{2} + b^{2} = 3^{2} + 9^{2}

= 9 + 81

= 90

**Ans C**

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