# Surd and Indices

**Vedic Maths trick to calculate Surd and Indices.**

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Q.1) If **2**^{1x} = √4^{5y} , then find the value of x.

2^{1x} = √4^{5y}

Square at the both side

(2^{1x})^{2} = 4^{5y}

2^{2x} = 4^{5y}

2^{1 * 2x} = 2^{2 * 5y}

2^{2x} = 2^{10y}

2x = 10y

x = 10 / 2 y

x = 5 y

**The value of x = 5 y **

^{1x}= √4

^{5y}