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Homework Statement:

An alloy has a fracture toughness of 62 MPam^1/2
and its ultimate tensile strength is 164 MPa.
Calculate the damage tolerance of the material in the unit of mm.
Relevant Equations:

Kic = Yrc sqrt pi * a
Kic = Y Oa sqrt pi * ac
so I have quickly gone over this, but feel that I am not going in the right direction.
I am assuming Y = 1 so,
62 = 164 sqrt Ka
given UTS = 164 Mpa
K_{ic} = 62 Mpa m^{1/2}
therefor,
working for ac, (the damage tolerance of the material)
Oa = UTS = 164 Mpa
Kic = Y Oa sqrt ac
62 = 1 * 164 * sqrt ac
there is a symbol in square root for the equation ^ I didn't understand it properly,
I have attached tutorials I have done earlier in the picture with the symbol in the square root.
what i would like some advice on would be the full equation.
I am assuming Y = 1 so,
62 = 164 sqrt Ka
given UTS = 164 Mpa
K_{ic} = 62 Mpa m^{1/2}
therefor,
working for ac, (the damage tolerance of the material)
Oa = UTS = 164 Mpa
Kic = Y Oa sqrt ac
62 = 1 * 164 * sqrt ac
there is a symbol in square root for the equation ^ I didn't understand it properly,
I have attached tutorials I have done earlier in the picture with the symbol in the square root.
what i would like some advice on would be the full equation.
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